Question

A cube and a square-based pyramid have identical heights and the same base area. If the cube’s volume is 450 cubic feet, what is the volume of the pyramid?(1 point)
Responses

220 ft.3
220 ft. cubed

150 ft.3
150 ft. cubed

50 ft.3
50 ft. cubed

153 ft.3

Answer 1

Volume of a pyramid = (1/3) × base area × height. For the cube, base area × height = volume = 450 ft³. So the pyramid's volume = (1/3)·450 = 150 ft³.

Answer: 150 ft³ (150 ft. cubed).