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How do I find the height of the right rectangular prism?

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tjjavid | Student, Undergraduate | (Level 1) Honors

Posted June 9, 2013 at 12:32 PM via web

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How do I find the height of the right rectangular prism?

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llltkl | College Teacher | (Level 3) Valedictorian

Posted June 9, 2013 at 2:24 PM (Answer #1)

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Surface Area of a right Rectangular Prism(S) = 2lw + 2lh + 2wh where l is the length, w is the width and h is the height of the rectangular prism.

Here, l = 6 ft, w = 4 ft and S = 108 ft^2. We have to find h.

So, according to the problem:

108 = 2lw + 2lh + 2wh

       =2(lw + lh + wh)

or, 108 = 2(6*4 + 6*h + 4*h)

or, 108 = 2(24 + 6h + 4h)

or, 108 = 2(24 + 10h)

or, 108 = 48 + 20h

or, 20h = 108 - 48

or, 20h = 60

or, h = 3

Therefore, the height of the right rectangular prism is 3 ft.


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