Question

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.

Answer 1

Answer:

$V=186.1\ m^3$

Step-by-step explanation:

Volume of a Pyramid

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

$\displaystyle V=\frac{A_b*H}{3}$

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:

$\displaystyle V=\frac{L^2*H}{3}$

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

$\displaystyle V=\frac{10.9^2*4.7}{3}$

$\displaystyle V=\frac{558.407}{3}$

$\boxed{V=186.1\ m^3}$