Question

What is the volume of a pyramid with slant height 25 feet and square base with edges of 14 feet?

Answer 1

Volume = 1/3 * (height * area of the base)

Answer 2

Given slant height, so need to solve for the height...

a^2 + b^2 = c^2
(14/2)^2 + h^2 = 25^2
7^2 + h^2 = 25^2
49 + h^2 = 625
h^2 = 576
h = 24

V=1/3x24x14^2=1568 cubic feet