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Math Help - surface area find function

  1. #1
    supermanismyhero
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    surface area find function

    the question: a box with a volume of 5000. the base is a squre. find the surface are

    i tired it and got 2x^2+20000/x but someone told me it was 2x^2+40000/x

    please help by finding the answer. thank you
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by supermanismyhero View Post
    the question: a box with a volume of 5000. the base is a squre. find the surface are

    i tired it and got 2x^2+20000/x but someone told me it was 2x^2+40000/x

    please help by finding the answer. thank you

    how exactly did you come up with that answer?
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  3. #3
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    earboth's Avatar
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    Quote Originally Posted by supermanismyhero View Post
    the question: a box with a volume of 5000. the base is a squre. find the surface are

    i tired it and got 2x^2+20000/x but someone told me it was 2x^2+40000/x

    please help by finding the answer. thank you
    Hi,

    to me your solution looks OK.

    I'll do the problem and you can check your homework:

    The volume of the cuboid is calculated by:

    V = x * h . Thus h = V / x. With your problem h = 5000/x

    The surface consists of 2 squares and 4 rectangles with length = height of the cuboid and width = side of the square. Therefore you get:

    A = 2*x + 4*x*h = 2*x + 4*x*5000/x

    You can simplify the last summand by cancelling out one x. So you get:

    A = 2*x + 4*5000/x = 2*x + 20000/x

    And that's exactly what you've got. Congratulations!

    EB
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