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Math Help - How do you find the side length of a cube if you know the surface area?

  1. #1
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    How do you find the side length of a cube if you know the surface area?

    Here is a problem on my homework that I'm stumped on.
    This is a test review, so I'm more interested in how you can find the answer to a similar problem.

    A cube has a surface area of 1,350 square inches.
    a. What are the side lengths of this cube?

    By the way can someone tell me the formula for the surface area of a cube? I know how to find the surface area but I don't know how you would write it exactly.
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  2. #2
    Member Danshader's Avatar
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    well a cube has 6 squared area on its surface
    and each of it can be given as x^2. hence in a total there will be 6(x^2) total area surface of a cube.(where x = length of one side of the cube)

    given in your question that the total area of that particular cube is 1350

    hence from total surface area = 6(area of one square surface of a cube)
    1350 = 6(x^2)
    x^2 = 225
    x = 15 inches

    Surface Area Formulas
    this will give you a better idea on it
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  3. #3
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    Quote Originally Posted by clay10 View Post
    Here is a problem on my homework that I'm stumped on.
    This is a test review, so I'm more interested in how you can find the answer to a similar problem.

    A cube has a surface area of 1,350 square inches.
    a. What are the side lengths of this cube?

    By the way can someone tell me the formula for the surface area of a cube? I know how to find the surface area but I don't know how you would write it exactly.

    maybe try dividing by L and W
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