Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
Mid-Chapter Quiz
Continue to next subchapter

Exercise 18 Page 716

Use the formula for the surface area of a pyramid.

261m^2

Practice makes perfect

We are given the following pyramid and we want to find its surface area.

To calculate the surface area of a pyramid, we can use the following formula, where P is the perimeter of the base, l is the slant height, and B is the area of the base. S=1/2Pl+B The base of the pyramid is a square with the side length s of 9meters. Let's calculate its perimeter P! P=4( 9) ⇒ P= 36m The area of the square equals the squared length of the side. B= 9^2 ⇒ B= 81m^2 We are also given that the slant height l is 10meters. Let's substitute all of these values into the formula for the surface area and calculate it.
S=1/2Pl+B
S=1/2( 36)( 10)+ 81
â–Ľ
Simplify right-hand side
S=1/2(360)+81
S=360/2+81
S=180+81
S=261
The surface area of the pyramid is 261m^2.