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Math Help - Rectangular Prism

  1. #1
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    Rectangular Prism

    The area of the top face of a rectangular prism is 54 sq. inches.If its volume is 162 cubic inches, which of the following could be the dimensions of the rectangular prism?

    (a)2in. x 3in x 18in.
    (b)2in. x 9in. x 9in.
    (c)3in. x 6in. x 9in.
    (d)6in. x 6in. x 9in.
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  2. #2
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    Quote Originally Posted by devi View Post
    The area of the top face of a rectangular prism is 54 sq. inches.If its volume is 162 cubic inches, which of the following could be the dimensions of the rectangular prism?

    (a)2in. x 3in x 18in.
    (b)2in. x 9in. x 9in.
    (c)3in. x 6in. x 9in.
    (d)6in. x 6in. x 9in.
    The formula for volume of a rectangular prism is Area of the base (or in this case, top face) times the height.

    So if the volume is 162in^3=54\times height which means height=3in.

    So look for the option that has 3 inches as one of its dimensions, and see if the other two multiply together to give 54 (or if the three multiply to become 162).
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