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Math Help - Slant height of a pyramid

  1. #1
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    Slant height of a pyramid

    The ratio of the height of the pyramid to the edge of the square base is 1.5 to 1. The height of the pyramid is 3 meters. What is the approximate length of the slant height of the pyramid?

    A. 4.4 m
    B. 3.2 m
    C. 2.8 m
    D. 1.4 m

    I am not sure what the ratio part means, but I thought maybe
    using a proportion
    (1.5/1)=(3/x)
    so x=2

    and then using a triangle (pyth. thm.) 3^2 + 2^2 = c^2 (slant height)
    so I got sqrt (13) which equals 3.6

    which the answer is supposed to be 3.2 but I do not think I did this correct because the answers are not close enough.
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  2. #2
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    Quote Originally Posted by nosolution680 View Post
    The ratio of the height of the pyramid to the edge of the square base is 1.5 to 1. The height of the pyramid is 3 meters. What is the approximate length of the slant height of the pyramid?

    A. 4.4 m
    B. 3.2 m
    C. 2.8 m
    D. 1.4 m

    I am not sure what the ratio part means, but I thought maybe
    using a proportion
    (1.5/1)=(3/x)
    so x=2

    and then using a triangle (pyth. thm.) 3^2 + 2^2 = c^2 (slant height)
    so I got sqrt (13) which equals 3.6

    which the answer is supposed to be 3.2 but I do not think I did this correct because the answers are not close enough.
    2 is the length of base not the length of b in your triangle.
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