Question
A rectangular pyramid has a volume of 420 in.³. If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?
A. 420
B. 1,260
C. 840
D. 140
A. 420
B. 1,260
C. 840
D. 140
Answers
GPT 3.5
C. 840
The volume of a pyramid is given by the formula V = (1/3) * base area * height. Since the base and height of the prism are congruent to the pyramid, the volume of the prism would be 3 times the volume of the pyramid.
420 * 3 = 840 in.³
The volume of a pyramid is given by the formula V = (1/3) * base area * height. Since the base and height of the prism are congruent to the pyramid, the volume of the prism would be 3 times the volume of the pyramid.
420 * 3 = 840 in.³