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A box with an open top is to be constructed by cutting a-inch squares from the corners of a rectangular sheet?

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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  • Ramon
    Lv 7
    9 years ago
    Favorite Answer

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

    (2x²-18x+36)3=528

    2x²-18x+36=176

    2x²-18x-140=0

    x²-9x-70=0

    (x-14)(x+5)=0

    x-14=0

    x=14

    so the sheet must be 28 by 14 in

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