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Algebra 2

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. the box is formed by cutting squares that measures 4 inches on each sides from 4 corners and then folding up the sides. If the volume of the box will be 340 inches to the third, what are the dimensions of the piece of cardboard? Width? Length?

  • Algebra 2 - ,

    inches to the third are called cubic inches!

    the original dimensions of the cardboard are w and w+12

    The base of the box is thus
    w-8 by w+4

    Since the height of the box is now 4, the volume is

    (w-8)(w+4)(4) = 340

    solve that to get w=13 and the rest is downhill

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