Example 1

Find the volume of the prisms pictured. All measurements are in centimetres.

a

Solution

\begin{align}\text{Volume}\ &= lwh\\\\ &= 6 × 4 × 2\\\\ &= 48\ \text{cm}^3\end{align}

b

Solution

\begin{align}\text{Volume}\ &= lwh\\\\ &= 20 × 8 × 2\\\\ &= 320\ \text{cm}^3\end{align}                                                                                                                           

Example 2

The volume of a rectangular prism is 144 m³. The area of the base is 36 m². What is the height of the prism?

Solution

\begin{align} V &= Ah\\\\ \text{Hence}\ h &=\dfrac{V}{A}\\\\ &=\dfrac{144}{36}\\\\ &= 4\ \text{m}\end{align}