Chapter 12.3, Problem 13PPS

To determine

Find the Lateral area .

Answer to Problem 13PPS

L = $139,440f{t}^2$

Explanation of Solution

Given:

The pyramid-shaped building that has a slant height of 210 ft. and a square base 332 ft. by 332 ft.

Formula Used: The Lateral area L of a regular Pyramid is

  $L=\frac{1}{2}Pl$ , where l is the slant height and P is the perimeter of the base .

Calculation:

The pyramid has a base that is square whose each side is 332 ft. and the slant height is 210 ft.

Perimeter of the base = P = 4(length of each side) = 4(332) = 1328 ft.

The Lateral area = $L=\frac{1}{2}Pl=\frac{1}{2}(1328)(210)=139,440f{t}^2$

Hence ,

L = $139,440f{t}^2$