Question

A right square pyramid has a slant height of 25 feet, and the length of a side of the base is 14 feet. What is the height of the pyramid?

Answer 1

Answer:
`24\ ft`

Explanation:

Given

The slant height of the square pyramid is
`l=25\ ft`

The length of the side of the base is
`a=14\ ft`

for the square pyramid, height is given by

`\Rightarrow h=√(l^2-r^2)\quad \quad [\text{where r=}(a)/(2)]\\\Rightarrow h=√(25^2-7^2)\\\Rightarrow h=√(625-49)\\\Rightarrow h=√(576)\\\Rightarrow h=24\ ft`

Thus, the height of the prism is
`24\ ft`