Question

A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the prism. Which expression gives the volume of the pyramid?

Answer 1

Answer;

V = 1/6 BH

Explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

Answer 2

Assume that the volume of the prism, V prism = Area of the base (A) x height (h). Using the equation for solving the volume of pyramid which is V pyramid = 1/3 x (base x height). For this example the prism and the pyramid's base is equal (A) and the height of pyramid is half the height of the prism (h/2). Hence, volume pyramid = 1/3 x (A) x (h/2) = (A x h)/6.