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Math Help - Rectangular Prism

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    Rectangular Prism

    A right rectangular prism has the following dimensions, x, y, z, where x + y + z = 15. Suppose that the prism's main diagonal has a length of 11. Then, determine the total surface area of the prism.
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    Quote Originally Posted by Ideasman View Post
    A right rectangular prism has the following dimensions, x, y, z, where x + y + z = 15. Suppose that the prism's main diagonal has a length of 11. Then, determine the total surface area of the prism.
    So,
    x+y+z=15
    Square,
    (x+y+z)^2 = 15^2 = 225
    Open,
    x^2+y^2+z^2+2xy+2xz+2yz = 225
    But,
    \sqrt{x^2+y^z+z^2}=11
    Thus,
    121 + 2xy+2xz+2yz = 225
    Thus,
    2xy+2xz+2yz = 104
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