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30 August, 19:13

a rectangular prism is 3 meters long, 4 meters wide, and has a total surface area of 94 square meters. what is it's height?

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  1. 30 August, 19:17
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    Surface area = 2 (wl+hl+hw)

    We know: 94 = 2 ((4) (3) + h (3) + h (4))

    Simplified, that is: 2 (12+7h) = 94

    Use distributive property to get: 24+14h = 94

    Next, subtract 24 from both sides to eliminate it: 14h = 70

    Finally, divide both sides by 14: h=5

    The rectangular prism is 5 meters high.

    Let me know if you have any questions about this!
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