Question

The length of a side of the base of a square pyramid is 15 inches. The pyramid has a lateral area of 270 square inches. What is the slant height of the pyramid?

Answer 1

The slant height of the pyramid is
`9\ in`

Explanation:

we know that

The lateral area of the square base pyramid is equal to

`LA=4((1)/(2)(b)(L))`

where

b is the length side of the base

L is the slant height of the pyramid

we have

`LA=270\ in^(2)`

`b=15\ in`

substitute the values and solve for L

`270=4((1)/(2)(15)(L))`

`270=30(L)`

`L=270/30=9\ in`