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Example 1

Find the volume of each prism. All measurements are in centimetres.

aTriangular prism, triangle base 4 cm, height 6 cm, prism height 5 cm.

Solution

\begin{align}\text{Volume} &=Ah\\\\ A&=\dfrac{1}{2} × 4 × 6\\\\ &=12\\\\ V&=12 × 5\\\\ &=60\ \text{cm}^3\end{align}


bTriangular prism, triangle base 12 cm, height 7 cm, prism height 8 cm.

Solution

\begin{align}\text{Volume} &= Ah\\\\ A &=\dfrac{1}{2} × 12 × 7\\\\ &=42\\\\ V &=42 × 8\\\\ &=336\ \text{cm}^3\end{align}