sat suite question viewer
Each base of a right rectangular prism has a length of inches and a width of inches. The prism has a volume of cubic inches. What is the height, in inches, of the prism?
Explanation
Choice A is correct. The volume, , of a rectangular prism is given by the formula , where is the length of the base, is the width of the base, and is the height of the prism. Itβs given that each base of a right rectangular prism has a length of inches and a width of inches, and that the prism has a volume of cubic inches. Substituting for , for , and for in the formula gives , or . Dividing each side of this equation by yields . Therefore, the height, in inches, of the prism is .
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect. This is the area, in square inches, of the base of the prism, not the height, in inches, of the prism.