Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
3. Surface Areas of Pyramids and Cones
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Exercise 9 Page 713

Use the formula for the surface area of a pyramid.

408 in.^2

Practice makes perfect

We want to find the surface area of the given pyramid.

To calculate the surface area of a pyramid, we can use the formula where p is the perimeter of the base, l is the slant height of the pyramid, and B is the area of the base. S.A.=1/2pl+B The base of the pyramid is a square with the side length of 12 inches. Let's calculate its perimeter! p=4s ⇒ p=4( 12)=48in. The area of the square equals the squared length of the side. B=s^2 ⇒ B= 12^2=144in.^2 We are also given that the slant height l is 11 inches. Let's substitute all of these values into the formula for the surface area and calculate it.
S.A.=1/2pl+B
S.A.=1/2(48)(11)+144
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Simplify right-hand side
S.A.=528/2+144
S.A.=264+144
S.A.=408
The surface area of the pyramid is 408 square inches.