Question
A rectangular prism has a volume of 36 cubed inches. If a rectangular pyramid has a base and height congruent to the prism, what is the volume of the pyramid?
A. 3
B. 6
C. 12
D. 36
A. 3
B. 6
C. 12
D. 36
Answers
GPT 3.5
B. 6
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. Since the volume of the prism is 36 in^3 and the base and height of the pyramid are congruent to the prism, the volume of the pyramid would be 1/3 of the volume of the prism.
Therefore, the volume of the pyramid is (1/3)(36) = 12 in^3.
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. Since the volume of the prism is 36 in^3 and the base and height of the pyramid are congruent to the prism, the volume of the pyramid would be 1/3 of the volume of the prism.
Therefore, the volume of the pyramid is (1/3)(36) = 12 in^3.