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Slices and area

Rectangular prism; lines drawn on all sides of the prism at 1 m intervals; sides labelled 3 m, 1 m, 4 m.

We can see that the rectangular prism on page 1 is made up of five copies of the 4 × 3 × 1 slice shown. The base area of the slices is 12 m² and the height is 1 m. We have five such slices in the original prism so we have

\begin{align}V &= 5 × 12\\\\ &= 60\ \text{m}^3\end{align}

Volume of a rectangular prism = Ah where A is the area of the base and h is the height.