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Find the volume of a pyramid with a square base, where the side length of the base is 10.9 m and the height of the pyramid is 4.7 m. Round your answer to the nearest tenth of a cubic meter.

User Cris R
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2 Answers

3 votes

Answer:186.1

Explanation:

User Luminance
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8.3k points
5 votes

Answer:


V=186.1\ m^3

Explanation:

Volume of a Pyramid

The volume of a pyramid with base area Ab and height H is given by:


\displaystyle V=(A_b*H)/(3)

If the base is a square of side length L, then its area is:


A_b=L^2

Thus, substituting the above equation in the first:


\displaystyle V=(L^2*H)/(3)

The side length is L=10.9 m and the height is 4.7 m, thus the volume is:


\displaystyle V=(10.9^2*4.7)/(3)


\displaystyle V=(558.407)/(3)


\boxed{V=186.1\ m^3}

User Syed Ariff
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