A right square prism has a height of 14 units. The volume of the prism is 2,016 cubic units. What

Question

A right square prism has a height of 14 units. The volume of the prism is 2,016 cubic units. What is the length, in units, of an edge of the base?

Accepted Answer

The correct answer is 12 . The volume, V , of a right square prism can be calculated using the formula V = s 2 h , where s represents the length of an edge of the base and h represents the height of the prism. It&rsquo;s given that the volume of the prism is 2,016 cubic units and the height is 14 units. Substituting 2,016 for V and 14 for h in the formula V = s 2 h yields 2,016 = s 2 14 . Dividing both sides of this equation by 14 yields 144 = s 2 . Taking the square root of both sides of this equation yields two solutions: - 12 = s and 12 = s . The length can't be negative, so 12 = s . Therefore, the length, in units, of an edge of the base is 12 .

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