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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Cumulative Standards Review

Exercise 11 Page 758

Do you remember the formula for surface area?

234.25in.^2

Practice makes perfect

We want to find the surface area of a cereal box with the given net.

Notice that this is the net of a prism.

To calculate the surface area of a rectangular prism, we can use the formula below. S=2(l w+l h+wh) The terms inside the parentheses represent the area of the three possible different sized faces. Each term is multiplied by 2 because opposite faces on a rectangular prism have equal dimensions. These are the same dimensions as we used above, so we will substitute them into the formula to calculate S.

S=2(l w+l h+wh)

SubstituteValues

Substitute values

S=2( 7.5* 2+ 7.5* 10.75+ 2* 10.75)

Multiply

S=2(15+80.625+21.5)

Add terms

S=2(117.125)

Multiply

S=234.25

The surface area is 234.25 square inches.