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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 53 Page 838

Use the formulas for the lateral and surface area.

Lateral Area: 126 cm^2
Surface Area: 175 cm^2

Practice makes perfect

The given solid is a pyramid.

To calculate the lateral area of a pyramid, we can use the known formula where P is the perimeter of the base and l is the slant height. L=1/2PlThe base of the pyramid is a square with the side length of 7cm. Let's calculate its perimeter!

P = 4s

s= 7

P = 4( 7)

Multiply

P = 28

We are also given that the slant height l is 9cm. Let's substitute all of these values into the formula for the lateral area and calculate it.

L = 1/2 P l

P= 28, l= 9

L = 1/2 ( 28)( 9)

Multiply

L = 126

We have found that the lateral area is 126cm^2. To find the surface area, all we have to do is add the base area B to the lateral area L. The base is a square with a side length of 7cm. The area of the square equals the squared length of the side.

B = s^2

s= 7

B = ( 7)^2

Calculate power

B = 49

We can now calculate the surface area.

S = L + B

L= 126, B= 49

S = 126+ 49

Add terms

S = 175

The surface area of the pyramid is 175cm^2.

Subchapter links

Exercises p.834-838