A square pyramid has base edge length 6 ft. The slant height of the pyramid is 5 ft. What is the volume of the pyramid?

Question

asked Apr 6, 2021 94.1k views

1 Answer

Zach Harris · Answer 1 · 2021-04-11T09:34:08+0000

Answer:

V = 60 m3

Explanation:

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side