Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 2.2 Junior Find the answer

The volume of a prism is equal to the area of its base times its depth. If the prism has identical bases with area $400 \mathrm{~cm}^{2}$ and depth 8 cm, what is its volume?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

The volume of a prism is equal to the area of its base times its depth. Here, the prism has identical bases with area $400 \mathrm{~cm}^{2}$ and depth 8 cm, and so its volume is $400 \mathrm{~cm}^{2} \times 8 \mathrm{~cm} = 3200 \mathrm{~cm}^{3}$ .

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