Glencoe Math: Course 2, Volume 2
GM
Glencoe Math: Course 2, Volume 2 View details
6. Surface Area of Prisms
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Exercise 21 Page 672

Remember the formula for the surface area of a prism.

G

Practice makes perfect

We want to find how much cardboard we need to make the following box.

The box is a rectangular prism and the cardboard is needed only for its surface area. To find the surface area of a rectangular prism with length l, width w, and height h can be calculated using the following formula. S=2 l h+2 l w+2 h w Each term has 2 in it because opposite faces on a rectangular prism have equal dimensions. We will substitute 2.5 feet for l, 1.6 feet for w, and 2 feet for h into the formula for the surface area and simplify.
S=2l h+2l w+2hw
S=2( 2.5) ( 2)+2( 2.5) ( 1.6)+2( 2)( 1.6)
S = 10 + 8 +6.4
S = 24.4
The surface area of the box is 24.4 square feet, so we need 24.4 square feet of cardboard to make the box. Therefore, answer G is correct.