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Math Help - Lateral Area

  1. #1
    Junior Member Melancholy's Avatar
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    Lateral Area

    The lateral area of a rectangular prism is 156 square inches. What are the possible whole-number dimensions of the prism if the height is 13 inches?

    Since lateral area = (perimeter)(height), would it be something like...

    156 = (a) (13)

    ...? And if that were how you set it up, how would I split a up to be those four sides of the base of the prism?

    I just can't seem to wrap my head around it
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  2. #2
    MHF Contributor
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    It's a rectangular prism. It has length, width, and height.

    The lateral surface area is

    2*length*height + 2*width*height = (2*length + 2*width)(height) = perimeter*height

    156 = a*13

    156 = 2*2*3*13

    You should be able to see it from the prime factorization.
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