{"id":41673,"date":"2026-09-24T07:11:09","date_gmt":"2026-09-24T07:11:09","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=41673"},"modified":"2026-09-24T08:56:40","modified_gmt":"2026-09-24T08:56:40","slug":"find-the-volume-of-prisms","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/find-the-volume-of-prisms\/","title":{"rendered":"How to Find the Volume of Prisms?"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"41673\" class=\"elementor elementor-41673\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-9740a14 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9740a14\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-de7b361\" data-id=\"de7b361\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eeb1208 elementor-widget elementor-widget-text-editor\" data-id=\"eeb1208\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">A crucial component of geometry is understanding the volume of prisms. A three-dimensional geometry having two identical parallel ends is called a prism. The prism&#8217;s volume shows how much room it occupies. Despite the fact that prisms can be classified into rectangles, triangles, etc., the overall idea stays the same: to find the area of the base and multiply it by the height.<\/span><\/p><p><span style=\"font-weight: 400;\">This tutorial gives you the wasteland formula so that you will calculate volumes of different shapes.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-0335572 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0335572\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2f2d8ef\" data-id=\"2f2d8ef\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3cce127 elementor-widget elementor-widget-text-editor\" data-id=\"3cce127\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>What Is a Prism?<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-dcc73c0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dcc73c0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b83c7d2\" data-id=\"b83c7d2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a580f9c elementor-widget elementor-widget-text-editor\" data-id=\"a580f9c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Prism is a three dimensional geometric shape which has two parallel bases of similar shapes. <\/span><span style=\"font-weight: 400;\">The bases may be of various shapes such as rectangles, triangles, pentagons or hexagons.<\/span><span style=\"font-weight: 400;\">The surfaces joining the bases are called lateral surfaces. Prism is named based on its base.<\/span><\/p><h4><b>Types of Prisms<\/b><\/h4><p><span style=\"font-weight: 400;\">For example, some common types of prisms are:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Rectangular prism<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Triangular prism<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Pentagonal prism<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Hexagonal prism<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Square prism<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">An example of prism is a rectangular box in case of rectangular prism while triangular prism resembles a tent shape.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-e1b1935 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e1b1935\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0999a83\" data-id=\"0999a83\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cc121d9 elementor-widget elementor-widget-text-editor\" data-id=\"cc121d9\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>What Is the Volume of a Prism?<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-3a77fd3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3a77fd3\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e76bd0f\" data-id=\"e76bd0f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4fb1c35 elementor-widget elementor-widget-text-editor\" data-id=\"4fb1c35\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">The prism\u2019s volume refers to the amount of three-dimensional area measured within a prism. Volume is measured in cubic units such as m\u00b3, cm\u00b3, or in\u00b3.<\/span><\/p><p><span style=\"font-weight: 400;\">The basic equation is as follows: <\/span><span style=\"font-weight: 400;\">Volume = Area of Base \u00d7 Height<\/span><span style=\"font-weight: 400;\"><br \/><\/span><\/p><p><span style=\"font-weight: 400;\">In mathematical terms;<\/span><\/p><p><strong>V = B \u00d7 h<br \/><\/strong><span style=\"font-weight: 400;\"><br \/><\/span><b>Where;<\/b><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">V = volume of the prism<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B = area of base<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">h = prism\u2019s height<\/span><span style=\"font-weight: 400;\"><br \/><br \/><\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">The most crucial thing to remember is to find out the area of base in the beginning of the calculation of volume.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-07ba7de elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"07ba7de\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-27f87f1\" data-id=\"27f87f1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e2df250 elementor-widget elementor-widget-text-editor\" data-id=\"e2df250\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>The prism volume formula is:<\/b><span style=\"font-weight: 400;\"><br \/><\/span><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-126b2d8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"126b2d8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-65d02ae\" data-id=\"65d02ae\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-45b7b68 elementor-widget elementor-widget-text-editor\" data-id=\"45b7b68\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">V = B \u00d7 h<\/span><\/p><p><span style=\"font-weight: 400;\">This formula doesn\u2019t work for certain kinds of prisms.<\/span><\/p><p><span style=\"font-weight: 400;\">For instance, if the base area of the prism is 20 cm\u00b2 and height is 8 cm, then:<\/span><\/p><p><span style=\"font-weight: 400;\">V = 20 \u00d7 8;<\/span><\/p><p><span style=\"font-weight: 400;\">V = 160 cm\u00b3<\/span><\/p><p><span style=\"font-weight: 400;\">Hence, the volume of the prism is equal to 160 cm\u00b3.<\/span><\/p><p><span style=\"font-weight: 400;\">Remember that volume uses cubic units because it measures three-dimensional space.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-8256b90 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8256b90\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8c8006d\" data-id=\"8c8006d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0a9fa68 elementor-widget elementor-widget-text-editor\" data-id=\"0a9fa68\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><span style=\"font-weight: 400;\"><b>How to Find the Volume of Prisms Step by Step<\/b><\/span><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-0da4024 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0da4024\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9ffde89\" data-id=\"9ffde89\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-358c603 elementor-widget elementor-widget-text-editor\" data-id=\"358c603\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">The calculation of the volume of prisms will become simpler when following three easy steps.<\/span><\/p><h4><b><span style=\"color: #004e98;\">Step 1: Finding the Shape of the Base<\/span><\/b><\/h4><p><span style=\"font-weight: 400;\">Initially, find out the shape of the base of the prism. The base may take a rectangle, triangle, pentagon, or any other form.<\/span><\/p><h4><b><span style=\"color: #004e98;\">Step 2: Calculate the Area of the Base<\/span><\/b><\/h4><p><span style=\"font-weight: 400;\">Apply the area formula relevant to the particular base.<\/span><\/p><p><span style=\"font-weight: 400;\">For instance:<\/span><\/p><p><span style=\"font-weight: 400;\">Rectangle: <\/span><span style=\"font-weight: 400;\">A = l x w<\/span><\/p><p><span style=\"font-weight: 400;\">Triangle: <\/span><span style=\"font-weight: 400;\">A = \u00bd \u00d7 b \u00d7 h<\/span><\/p><h4><b><span style=\"color: #004e98;\">Step 3: Multiply the Area of the Base by the Height of the Prism<\/span><\/b><\/h4><p><span style=\"font-weight: 400;\">After finding the area of the base, multiply it by the height\/length of the prism:\u00a0 <\/span><span style=\"font-weight: 400;\">V = B \u00d7 h<\/span><\/p><p><span style=\"font-weight: 400;\">Keep in mind that the units should match.<br \/><br \/><strong>Recommended Reading: <\/strong><\/span><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/how-to-round-to-the-nearest-hundredth\/\">How to Round to the Nearest Hundredth: Simple Steps, Rules &amp; Examples<\/a><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-b8fa560 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b8fa560\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fd3716c\" data-id=\"fd3716c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cdf800d elementor-widget elementor-widget-text-editor\" data-id=\"cdf800d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Volume of Rectangular Prisms<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-56e2907 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"56e2907\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-baf6f36\" data-id=\"baf6f36\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-934e3cc elementor-widget elementor-widget-text-editor\" data-id=\"934e3cc\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Rectangular prism volume is one of the easiest applications of the prism volume formula. <\/span><span style=\"font-weight: 400;\">A rectangular prism is a solid whose base is a rectangle. In this case, the base area is:<\/span><\/p><p><b>Base Area = Length \u00d7 Width<\/b><\/p><p><span style=\"font-weight: 400;\">The volume formula will be:<\/span><\/p><p><b>V = Length \u00d7 Width \u00d7 Height<\/b><\/p><p><b>Example: Volume of a Rectangular Prism<\/b><\/p><p><span style=\"font-weight: 400;\">Consider that a rectangular prism has the following measurements:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Length = 8 cm<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Width = 5 cm<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Height = 3 cm<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">In this case, we shall start by multiplying the three measures together:<\/span><\/p><p><b>V = 8 \u00d7 5 \u00d7 3<\/b><\/p><p><b>V = 120 cm\u00b3<\/b><\/p><p><span style=\"font-weight: 400;\">Thus, the volume is 120 cubic centimeters.<\/span><\/p><p><b>Another Example :\u00a0<\/b><\/p><p><span style=\"font-weight: 400;\">A storage box has a length of 10 inches, width of 4 inches, and height of 6 inches.<\/span><\/p><p><b>V = 10 \u00d7 4 \u00d7 6<\/b><\/p><p><b>V = 240 in\u00b3<\/b><\/p><p><b>This means the box can contain 240 cubic inches.<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-1231568 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1231568\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-22a4e1b\" data-id=\"22a4e1b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-57939c6 elementor-widget elementor-widget-text-editor\" data-id=\"57939c6\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>How to Find the Volume of a Triangular Prism<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-3cd661b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3cd661b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d5f9147\" data-id=\"d5f9147\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4dae081 elementor-widget elementor-widget-text-editor\" data-id=\"4dae081\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">For a triangular prism, you first need to find the area of the triangular base.<\/span><\/p><p><span style=\"font-weight: 400;\">The area of a triangle is:<\/span><\/p><p><span style=\"font-weight: 400;\">Area = \u00bd \u00d7 base \u00d7 triangle height<\/span><\/p><p><span style=\"font-weight: 400;\">Then multiply that area by the length or height of the prism.<\/span><\/p><h3><strong>Example:\u00a0<\/strong><\/h3><p><span style=\"font-weight: 400;\">A triangular prism has:<\/span><\/p><ul><li aria-level=\"1\"><strong>Triangle base = 6 cm<\/strong><\/li><\/ul><ul><li aria-level=\"1\"><strong>Triangle height = 4 cm<\/strong><\/li><\/ul><ul><li aria-level=\"1\"><strong>Prism length = 10 cm<\/strong><\/li><\/ul><p><span style=\"font-weight: 400;\">First, find the triangular base area:<\/span><\/p><p><span style=\"font-weight: 400;\">B = \u00bd \u00d7 6 \u00d7 4<\/span><\/p><p><span style=\"font-weight: 400;\">B = 12 cm\u00b2<\/span><\/p><p><span style=\"font-weight: 400;\">Now calculate the volume:<\/span><\/p><p><span style=\"font-weight: 400;\">V = 12 \u00d7 10<\/span><\/p><p><span style=\"font-weight: 400;\">V = 120 cm\u00b3<br \/><br \/>Reco<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-a966bbd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a966bbd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-38f9981\" data-id=\"38f9981\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6c0e100 elementor-widget elementor-widget-text-editor\" data-id=\"6c0e100\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Volume of Different Types of Prisms<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-3ee6637 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3ee6637\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3e6a6ae\" data-id=\"3e6a6ae\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a74b4d5 elementor-widget elementor-widget-html\" data-id=\"a74b4d5\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<section class=\"prism-types\" aria-labelledby=\"prism-types-heading\">\n  <h2 id=\"prism-types-heading\">Volume of Different Types of Prisms<\/h2>\n\n  <p>\n    The same basic formula can be used to calculate the volume of different\n    types of prisms. First, find the area of the prism's base, then multiply\n    it by the prism's height.\n  <\/p>\n\n  <div class=\"table-wrapper\">\n    <table class=\"prism-volume-table\">\n      <caption>\n        Volume formulas for different types of prisms\n      <\/caption>\n\n      <thead>\n        <tr>\n          <th scope=\"col\">Type of Prism<\/th>\n          <th scope=\"col\">Base Area<\/th>\n          <th scope=\"col\">Volume Formula<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n        <tr>\n          <th scope=\"row\">Rectangular Prism<\/th>\n          <td>Length \u00d7 Width<\/td>\n          <td><strong>L \u00d7 W \u00d7 H<\/strong><\/td>\n        <\/tr>\n\n        <tr>\n          <th scope=\"row\">Triangular Prism<\/th>\n          <td>\u00bd \u00d7 Base \u00d7 Triangle Height<\/td>\n          <td><strong>Base Area \u00d7 Prism Height<\/strong><\/td>\n        <\/tr>\n\n        <tr>\n          <th scope=\"row\">Pentagonal Prism<\/th>\n          <td>Area of Pentagon<\/td>\n          <td><strong>Base Area \u00d7 Prism Height<\/strong><\/td>\n        <\/tr>\n\n        <tr>\n          <th scope=\"row\">Hexagonal Prism<\/th>\n          <td>Area of Hexagon<\/td>\n          <td><strong>Base Area \u00d7 Prism Height<\/strong><\/td>\n        <\/tr>\n      <\/tbody>\n    <\/table>\n  <\/div>\n\n  <p class=\"prism-note\">\n    <strong>Key formula:<\/strong>\n    Volume of a prism = Base Area \u00d7 Prism Height.\n  <\/p>\n<\/section>\n\n<style>\n  .prism-types {\n    max-width: 1000px;\n    margin: 40px auto;\n    padding: 30px;\n    background: #ffffff;\n    border: 1px solid #e5e7eb;\n    border-radius: 16px;\n    box-shadow: 0 6px 20px rgba(0, 0, 0, 0.06);\n    font-family: Arial, Helvetica, sans-serif;\n    line-height: 1.7;\n  }\n\n  .prism-types h2 {\n    margin: 0 0 12px;\n    font-size: 30px;\n    line-height: 1.3;\n    color: #172554;\n  }\n\n  .prism-types p {\n    margin: 0 0 22px;\n    font-size: 17px;\n    color: #374151;\n  }\n\n  .table-wrapper {\n    width: 100%;\n    overflow-x: auto;\n    margin: 25px 0;\n    border-radius: 12px;\n  }\n\n  .prism-volume-table {\n    width: 100%;\n    min-width: 650px;\n    border-collapse: collapse;\n    background: #fff;\n  }\n\n  .prism-volume-table caption {\n    padding: 12px;\n    text-align: left;\n    font-size: 15px;\n    font-weight: 600;\n    color: #4b5563;\n  }\n\n  .prism-volume-table th,\n  .prism-volume-table td {\n    padding: 16px 18px;\n    border: 1px solid #dbe3ef;\n    text-align: left;\n    vertical-align: middle;\n  }\n\n  .prism-volume-table thead th {\n    background: #172554;\n    color: #ffffff;\n    font-size: 16px;\n    font-weight: 700;\n  }\n\n  .prism-volume-table tbody th {\n    background: #f8fafc;\n    color: #172554;\n    font-weight: 700;\n  }\n\n  .prism-volume-table tbody td {\n    color: #374151;\n    font-size: 16px;\n  }\n\n  .prism-volume-table tbody tr:hover {\n    background: #f8fafc;\n  }\n\n  .prism-volume-table strong {\n    color: #1d4ed8;\n  }\n\n  .prism-note {\n    margin-top: 25px !important;\n    padding: 18px 20px;\n    background: #eff6ff;\n    border-left: 4px solid #2563eb;\n    border-radius: 8px;\n    color: #1e3a8a !important;\n  }\n\n  @media (max-width: 768px) {\n    .prism-types {\n      margin: 25px 10px;\n      padding: 20px 15px;\n    }\n\n    .prism-types h2 {\n      font-size: 25px;\n    }\n\n    .prism-types p {\n      font-size: 16px;\n    }\n\n    .prism-volume-table th,\n    .prism-volume-table td {\n      padding: 13px 12px;\n    }\n  }\n<\/style>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-995d308 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"995d308\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4d61d44\" data-id=\"4d61d44\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-42f34be elementor-widget elementor-widget-text-editor\" data-id=\"42f34be\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Volume of Prisms and Cylinders<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-6e53d2e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6e53d2e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-85580c3\" data-id=\"85580c3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a50e8ec elementor-widget elementor-widget-text-editor\" data-id=\"a50e8ec\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">The volume of prisms and cylinders is often taught together because both shapes use a similar volume concept.<\/span><\/p><p><span style=\"font-weight: 400;\">For a prism:<\/span><\/p><p><strong>V = B \u00d7 h<\/strong><\/p><p><span style=\"font-weight: 400;\">For a cylinder:<\/span><\/p><p><strong>V = \u03c0r\u00b2h<\/strong><\/p><p><span style=\"font-weight: 400;\">In both formulas, the area of the base is multiplied by the height.<\/span><\/p><p><span style=\"font-weight: 400;\">A prism has a polygon-shaped base, while a cylinder has a circular base.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-3c7023d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3c7023d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-773c1e4\" data-id=\"773c1e4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-57b33d5 elementor-widget elementor-widget-text-editor\" data-id=\"57b33d5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><b>Conclusion<\/b><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-b501db9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b501db9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9f3631a\" data-id=\"9f3631a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8a41dbf elementor-widget elementor-widget-text-editor\" data-id=\"8a41dbf\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">Determining the volume of prisms can be achieved through one fundamental concept: determine the base area of the prism and multiply it by its height.<\/span><\/p><p><span style=\"font-weight: 400;\">The general formula for volume of a prism is:<\/span><\/p><p><span style=\"font-weight: 400;\">V = B \u00d7 h<\/span><\/p><p><span style=\"font-weight: 400;\">To solve for volume of a rectangular prism, use:<\/span><\/p><p><span style=\"font-weight: 400;\">V = length \u00d7 width \u00d7 height<\/span><\/p><p><span style=\"font-weight: 400;\">While for the volume of a triangular prism, first solve for the triangular base area before multiplying by the length of the prism. Same principle applies when determining the comparison of volumes of prisms and cylinders.<\/span><\/p><p><span style=\"font-weight: 400;\">If the right base is correctly identified along with its area formula, prism volume becomes a lot easier.<\/span><\/p><p>You can opt for our\u00a0<a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\">Advanced Math<\/a>\u00a0or Vedic Math+Mental Math courses. Our\u00a0<a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\">Math Quiz<\/a>\u00a0for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.`<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>A crucial component of geometry is understanding the volume of prisms. A three-dimensional geometry having two identical parallel ends is called a prism. The prism&#8217;s volume shows how much room it occupies. Despite the fact that prisms can be classified into rectangles, triangles, etc., the overall idea stays the same: to find the area of [&hellip;]<\/p>\n","protected":false},"author":116,"featured_media":41706,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[969],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/41673"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=41673"}],"version-history":[{"count":20,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/41673\/revisions"}],"predecessor-version":[{"id":41710,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/41673\/revisions\/41710"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/41706"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=41673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=41673"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=41673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}