Question

Ahmad constructs a square-based pyramid and a cube out of newspaper. The two figures have the same height and the same base area. What is the volume of the pyramid if the volume of the cube is 54 cubic units?(1 point)
Responses

6 cubic units
6 cubic units

90 cubic units
90 cubic units

18 cubic units
18 cubic units

36 cubic units

Answer 1

Volume of a square pyramid = (1/3) × base area × height. Here base area = s^2 and height = s (same as the cube), so pyramid volume = (1/3)s^3. Since the cube's volume s^3 = 54, the pyramid's volume = 54/3 = 18 cubic units.