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 ft3

220 ft3


150 ft3

150 ft3


50 ft3

50 ft3


153 ft3

Answer 1

Let the cube side be s. Then cube volume = s^3 = 450. The square pyramid has base area s^2 and height s, so its volume = (1/3)(base area)(height) = (1/3)s^3 = (1/3)(450) = 150 ft^3.