Volume and surface area

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The volume of a shape is the space inside it.

This cuboid contains 12 small cubes. Each small cube has a volume of 1 cm³.

The volume of the cuboid is 12 cm³.

The surface area of a 3D shape is the total area of all the faces.

A cube has six faces which are all squares.

The area of one face is:

\(5 \times 5 = 25~\text{cm}^2\)

There are six faces with the same area.

The surface area of the cube is \(6 \times 25 = 150~\text{cm}^2\).

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