Algebra 2

The dimensions in inches of a shipping box can be expressed as width x, length x + 1, and height x - 4. The volume is 84 ft^3. Find the dimensions of the box in feet.

1, 1, 4
2, 2, 21
2, 6, 7
3, 4, 7

Please help? If somebody can help put this into an equation for me, I can do the rest. Thanks

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  1. w = x
    L = (x+1)
    H = (x-4)

    w L H = 84
    so
    x(x+1)(x-4) = 84

    but the easy way is to look at the answers listed
    7 is one bigger than 6
    4 is one bigger than 3
    so it must be one of the last two
    if x = W = 6
    L=7
    H=6-4 = 2
    that works
    if x =W= 4
    L = 5 etc, does not work
    so
    2,6,7 works

    (a cubic has more than one solution)

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  2. Okay, cool. Thanks a lot, Damon!:)

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  3. You are welcome.

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