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?

V = 2/3bh

V = 1/4bh

V = 2bh

V = 1/6bh

Question

Mathematics

Sheba

24 June, 01:33

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?

V = 2/3bh

V = 1/4bh

V = 2bh

V = 1/6bh

+1

Answers (2)

Know the Answer?

Rivers · Answer 1

The answer is D) V = (1/6) bh

Helena Bowers · Answer 2

The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 bh

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?V = 2/3bhV = 1/4bhV = 2bhV = 1/6bh

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?

V = 2/3bh

V = 1/4bh

V = 2bh

V = 1/6bh