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?

Its not v=1/3*b*h

a.v=2/3bh
b. v=1/4bh
c.v=2bh
d.v=1/6bh

Answer 1

V = 1/6 BH

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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

Answer: D) V= 1/6 bh

Explanation:

Since according to the given question, A pyramid is placed inside a prism.

And, The pyramid has the same base area, b, as the prism but half the height, h, of the prism.

Therefore, base area of the pyramid = b

Height of the pyramid = h/2

Since, The volume of the pyramid,

V = 1/3 × base ares × height

V= 1/3 × b × h/2

V= 1/6 bh

Thus the required volume = 1/6 bh cube unit.

Therefore Option D is correct.