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Can someone please solve this equation?

A box with an open top is to be constructed by cutting a-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box having a volume of 528 in3 when a = 3?

Width = ?

Length = ?

1 Answer

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  • 9 years ago
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    L = 2W

    vol = 528 = (L-2a)(W-2a)(a)

    528 = (2W-6)(W-6)(3)

    528 = 6w^2 -36w -18w +108

    528 = 6w^2 -54w +108

    -6w^2 +54w +420 = 0; w=14

    check your answer:

    w= 14

    a= 3

    l= 2w= 28

    (l-2a)(w-2a)(a)= 528

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