{"id":41168,"date":"2026-09-10T17:22:29","date_gmt":"2026-09-10T17:22:29","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=41168"},"modified":"2026-09-15T08:01:25","modified_gmt":"2026-09-15T08:01:25","slug":"cube-vs-cuboid","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/cube-vs-cuboid\/","title":{"rendered":"Cube vs Cuboid: Differences, Examples & Formulas"},"content":{"rendered":"\t\t
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A die and a shoebox can both look like little boxes, but they are not the same shape. So, what is the difference between a cube and a cuboid?<\/strong><\/p>\r\n\r\n

The easiest way to remember it is this:<\/p>\r\n\r\n

\r\nA cube has six equal square faces and all its edges are the same length. A cuboid has six rectangular faces, and its length, width, and height can be different.<\/strong>\r\n<\/div>\r\n\r\n

Here\u2019s the interesting part: every cube is a cuboid, but not every cuboid is a cube.<\/strong><\/p>\r\n\r\n<\/div>\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

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\r\nCube vs Cuboid: Quick Comparison\r\n<\/h2>\r\n\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Feature<\/th>\r\nCube<\/th>\r\nCuboid<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Face shape<\/strong><\/td>\r\n6 equal squares<\/td>\r\n6 rectangles<\/td>\r\n<\/tr>\r\n
Edge lengths<\/strong><\/td>\r\nAll 12 are equal<\/td>\r\nOpposite edges are equal; dimensions may differ<\/td>\r\n<\/tr>\r\n
Dimensions<\/strong><\/td>\r\nLength = width = height<\/td>\r\nLength, width, and height can differ<\/td>\r\n<\/tr>\r\n
Faces<\/strong><\/td>\r\n6<\/td>\r\n6<\/td>\r\n<\/tr>\r\n
Edges<\/strong><\/td>\r\n12<\/td>\r\n12<\/td>\r\n<\/tr>\r\n
Vertices<\/strong><\/td>\r\n8<\/td>\r\n8<\/td>\r\n<\/tr>\r\n
Example<\/strong><\/td>\r\nDie, ice cube, Rubik\u2019s Cube<\/td>\r\nBrick, book, shoebox<\/td>\r\n<\/tr>\r\n
Volume<\/strong><\/td>\r\na\u00b3<\/td>\r\nl \u00d7 w \u00d7 h<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n\r\n
\r\nSo, although they have the same number of faces, edges, and vertices<\/strong>, their dimensions and face shapes are what set them apart.\r\n<\/div>\r\n\r\n<\/div>\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
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What Is a Cube?<\/h2>\r\n\r\n

A cube<\/strong> is a three-dimensional solid with six equal square faces<\/strong>.<\/p>\r\n\r\n

Every edge of a cube has the same length. That means its length, width, and height are equal.<\/p>\r\n\r\n

For example, if a cube has an edge of 4 cm:<\/p>\r\n\r\n

\r\nLength = Width = Height = 4 cm\r\n<\/div>\r\n\r\n

A die, an ice cube, and a Rubik\u2019s Cube are familiar examples.<\/p>\r\n\r\n<\/div>\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

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Cube volume<\/h3>\r\n\r\n

If the edge length is a<\/strong>, its volume is:<\/p>\r\n\r\n

\r\nVolume = a \u00d7 a \u00d7 a = a\u00b3\r\n<\/div>\r\n\r\n

For a cube with a 4 cm edge:<\/p>\r\n\r\n

\r\nVolume = 4\u00b3 = 64 cm\u00b3\r\n<\/div>\r\n\r\n<\/div>\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
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What Is a Cuboid?<\/h2>\r\n\r\n

A cuboid<\/strong> is a three-dimensional solid with six rectangular faces<\/strong>.<\/p>\r\n\r\n

Unlike a cube, its three dimensions do not have to be equal.<\/p>\r\n\r\n

For example, a box measuring:<\/p>\r\n\r\n

\r\n8 cm \u00d7 5 cm \u00d7 3 cm\r\n<\/div>\r\n\r\n

is a cuboid because its length, width, and height are different.<\/p>\r\n\r\n

Common examples include books, bricks, cereal boxes, and shoeboxes<\/strong>.<\/p>\r\n\r\n<\/div>\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

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Cuboid volume<\/h3>\r\n\r\n

For a cuboid:<\/p>\r\n\r\n

\r\nVolume = length \u00d7 width \u00d7 height\r\n<\/div>\r\n\r\n

So, for the 8 cm \u00d7 5 cm \u00d7 3 cm box:<\/p>\r\n\r\n

\r\nVolume = 8 \u00d7 5 \u00d7 3 = 120 cm\u00b3\r\n<\/div>\r\n\r\n<\/div>\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
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Is a Cube a Cuboid?<\/h2>\r\n\r\n
\r\nYes! A cube is a special type of cuboid.<\/strong>\r\n<\/div>\r\n\r\n

Think of a cuboid as the bigger category. A cuboid can have different dimensions, but when all three dimensions become equal, something special happens: the cuboid becomes a cube.<\/strong><\/p>\r\n\r\n

For example:<\/p>\r\n\r\n

\r\n\r\n
\r\n6 \u00d7 4 \u00d7 3<\/strong>
\u2192 cuboid<\/strong>\r\n<\/div>\r\n\r\n
\r\n6 \u00d7 6 \u00d7 3<\/strong>
\u2192 cuboid<\/strong>\r\n<\/div>\r\n\r\n
\r\n6 \u00d7 6 \u00d7 6<\/strong>
\u2192 cube<\/strong>\r\n<\/div>\r\n\r\n<\/div>\r\n\r\n
\r\nEvery cube is a cuboid, but not every cuboid is a cube.\r\n<\/div>\r\n\r\n

It is similar to the relationship between a square and a rectangle<\/strong>: a square has the extra condition that all its sides are equal.<\/p>\r\n\r\n<\/div>\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

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Recommended reading:<\/strong><\/p>