sat suite question viewer
The length of the edge of the base of a right square prism is units. The volume of the prism is cubic units. What is the height, in units, of the prism?
Explanation
Choice D is correct. The volume, , of a right square prism is given by the formula , where represents the length of the edge of the base and represents the height of the prism. Itβs given that the volume of a right square prism is cubic units and the length of the edge of the base is units. Substituting for and for in the formula yields , or . Dividing both sides of this equation by yields . Therefore, the height, in units, of the prism is .
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 units and the volume of the prism is , not , 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 units and the volume of the prism is , not , units.