Question

What is the volume of a square pyramid with base edges 24ft and slant height 20ft

Answer 1

Explanation:

Volume of pyramid V= 1/3a^2×h

a = 24 and h = 20

V = 1/3 × 24^2 × 20

V = 1/3 × 576 × 20

V = 3840cubic ft

Answer 2

The volume of the square pyramid is: 3072 ft³

What is the volume of the square pyramid?

The volume (V) of a square pyramid can be calculated using the formula:

V = ⅓ × base area × height

The base area of a square pyramid is given by the formula:

base area = base edge²

Given that the base edges (a) is 24 ft and the slant height (s) is 20 ft, we can calculate the height (h) of the pyramid using the Pythagorean theorem.

h = √(20² - (24/2)²)

h = √256

h = 16 ft

Thus:

Volume = ⅓ * 256 * 16

Volume = 3072 ft³