What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and the length of the altitude to that side is ha= 6 cm.
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Volume of a prism
Given. The base of the right prism is ΔABC with side AB = 9 cm and the length of the altitude to that side is h = 6 cm. The height of the prism is H = 14 cm.
To find. Volume of the right prism.
Solution.
When AB is the base ΔABC, then its area,
A = 1/2 * AB * h
= 1/2 * 9 * 6 cm²
= 27 cm²
∴ the volume of the right prism is
V = H * A
= 14 * 27 cm³
= 378 cm³
Answer. The volume of the given right prism is 378 cm³.
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