Question

The base of an above ground pool is a regular octagon. each side of the base is 5 feet long, and the height of the pool is 6 feet. What is the volume of the pool?

Answer 1

• 724.26 cubic feet

----------------------------

Calculate the area of the octagon base and then multiply it by the height of the pool.

The area of a regular octagon can be found using the formula:

• A = 2s²(1 + √2), where s - side of the octagon

Plugging this value into the formula:

• A = 2 * 5² * (1 + √2) = 2 * 25 * (1 + 1.414) ≈ 120.71 square feet

Find the volume of the pool by multiplying the base area by the height:

• V = Ah = 120.71 * 6 ≈ 724.26 cubic feet