The length of the edge of the base of a right square prism is 6 units. The volume of the

Question

The length of the edge of the base of a right square prism is 6 units. The volume of the prism is 2,880 cubic units. What is the height, in units, of the prism?

Accepted Answer

Choice D is correct. The volume, V , of a right square prism is given by the formula V = s 2 h , where s represents the length of the edge of the base and h represents the height of the prism. It&rsquo;s given that the volume of a right square prism is 2,880 cubic units and the length of the edge of the base is 6 units. Substituting 2,880 for V and 6 for s in the formula V = s 2 h yields 2,880 = 6 2 h , or 2,880 = 36 h . Dividing both sides of this equation by 36 yields 80 = h . Therefore, the height, in units, of the prism is 80 . Choice A is incorrect. This is the height, in units, of a right square prism where the length of the edge of the base is 6 units and the volume of the prism is 144 30 , not 2,880 , units. Choice B is incorrect. This is the area, in square units, of the base, not the height, in units, of the prism. Choice C is incorrect. This is the height, in units, of a right square prism where the length of the edge of the base is 6 units and the volume of the prism is 864 5 , not 2,880 , units.

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