what is the surface area if a rectangular prism that is 18 1/2 ft. long, 4 5/6 ft deep and 5 1/3 ft ht?

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11-05-2015
Mathematics

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what is the surface area if a rectangular prism that is 18 1/2 ft. long, 4 5/6 ft deep and 5 1/3 ft ht?

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iGreen iGreen · Answer 1 · 2015-05-11T09:06:39-04:00

iGreen iGreen

11-05-2015

[tex]\sf~SA=2(wl+hl+hw)[/tex]

Plug in what we know:

[tex]\sf~SA=2((4\dfrac{5}{6})(18\dfrac{1}{2})+(5\dfrac{1}{3})(18\dfrac{1}{2})+(5\dfrac{1}{3})(4\dfrac{5}{6}))[/tex]

Multiply:

[tex]\sf~SA=2((89\dfrac{5}{12})+(98\dfrac{2}{3})+(25\dfrac{7}{9})[/tex]

Add:

[tex]\sf~SA=\boxed{\sf213\dfrac{31}{36}}[/tex]

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