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 14 Page 671

Remember the formula for the surface area of a prism.

about 125.4 square inches

Practice makes perfect

Let's see the given measurements on the rectangular prism.

To calculate 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 6 14 inches for l, 3 inches for w, and 4 34 inches for h into the formula for the surface area and simplify.
S=2l h+2l w+2hw
S=2( 6 14) ( 4 34)+2( 6 14) ( 3)+2( 4 34)( 3)
Write mixed number as a fraction
S = 2(6 * 4 + 1/4 ) ( 4 * 4 + 3/4 )+ 2(6 * 4 + 1/4 )(3) + 2 ( 4 * 4 + 3/4 )(3)
S = 2(24 + 1/4 ) ( 16 + 3/4 )+ 2(24 + 1/4 )(3) + 2 ( 16 + 3/4 )(3)
S = 2(25/4 ) ( 19/4 )+ 2(25/4 )(3) + 2 ( 19/4 )(3)
Simplify right-hand side
S = 2(475/16 ) + 2(25/4 )(3) + 2 ( 19/4 )(3)
S = 2(475/16 ) + 2(75/4 ) + 2 ( 57/4 )
S = 950/16 + 150/4 + 114/4
S = 59.375 + 37.5 + 28.5
S = 125.375
S ≈ 125.4
The surface area is about 125.4 square inches.