Question

Find the volume of a pyramid with a square base, where the side length of the base is 16 in16\text{ in} 16 in and the height of the pyramid is 22.1 in22.1\text{ in} 22.1 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

Given:

Given that the side length of the base of the square pyramid is 16 inches.

The height of the pyramid is 22.1 inches.

We need to determine the volume of the square pyramid.

Volume of the square pyramid:

The volume of the square pyramid can be determined using the formula,

$V=\frac{1}{3}Bh$

where B is the area of the base and h is the height of the pyramid.

Substituting B = (16 × 16) and h = 22.1, we get;

$V=\frac{1}{3}(16 \times 16)(22.1)$

$V=\frac{1}{3}(256)(22.1)$

$V=\frac{1}{3}(5657.6)$

$V=1885.9$

Thus, the volume of the pyramid is 1885.9 cubic inches.