The volume of a cube is 36 cubic feet. What is the volume of a pyramid that fits exactly inside the cube? Provide an explanation and proof for your answer to receive full credit.
Volume of a cube : V = a³ = 36 ft³ Volume of a pyramid: V = 1/3 * B * h If a pyramid fits exactly inside the cube: B = a² and h = a. V = 1/3 * a² * a = 1/3 a³ = 1/3 * Volume of a cube V (pyramid ) = 1/3 * 36 = 12 ft³
