Question

A pyramid has a square base with sides of length s. The height of the pyramid is equal to of the length of a side on the base. Which formula represents the volume of the pyramid? A. B. C. D. V = 3s3 E. V = 6s3

Answer 1

Answer:

The volume of the pyramid is a third of the volume of the prism which has the same base area and height as the pyramid. That is,

                          V = b²h / 3

Substituting the variables given,

                         V = (s²)(0.5s) / 3

Simplifying,

                         V = s³/6

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Answer 2

The formula that represents the volume of the pyramid with square base is 1/3 s³

How to find the volume of a pyramid?

The volume of a pyramid can be found a follows:

volume of pyramid = 1/ 3 Bh

where

• B = base area
• h = height of the pyramid

Therefore,

area of the square base = s²

The height of the pyramid is equal to of the length of a side on the base.

Therefore,

h = s

Hence,

volume of the pyramid = 1/3 s² × s

volume of the pyramid = 1/3 s³

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