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

150 ft3

150 ft3


220 ft3

220 ft3


50 ft3

50 ft3


153 ft3

Answer 1

Volume of a pyramid = (1/3)(base area)(height). For the cube, (base area)(height) = its volume = 450 ft^3. Since the pyramid has the same base area and height, its volume = (1/3)·450 = 150 ft^3.