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?

Question

asked Jun 8, 2020 89.9k views

1 Answer

Mzzx · Answer 1 · 2020-06-13T18:04:23+0000

Answer:

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)

$L=270/30=9\ in$