A sandbox shaped like a right triangular prism has a base of $2.6 m$ and a height of $1.7 m$ . If the sand in the box is $0.3 m$ deep, how many full cubic metres of sand do you need to buy?

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Solution

Given : Base $= 2.6 m, h e i g h t = 1.7 m, h e i g h t o f p r i s m = 0.3 m$
We know that, Volume $= (b a s e \times \frac{h e i g h t}{2}) \times h e i g h t o f p r i s m$
$⟹ V = (2.6 \times \frac{1.7}{2}) \times 0.3$
$⟹ V = 0.663$
Thus, in order to buy enough sand to fill the box, we need $1$ cubic metre of sand.

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