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Math Help - Hard cal question Help please

  1. #1
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    Hard cal question Help please

    An open box is to be made from a flat piece of material 7 inches long and 6 inches wide by cutting equal squares of length xfrom the corners and folding up the sides.
    Write the volume Vof the box as a function of x. Leave it as a product of factors, do not multiply out the factors.

    V=
    If we write the domain of the box as an open interval in the form (a,b), then what is a=?
    a=
    and what is b=?
    b=
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  2. #2
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    I think : V = (7-2x)(6-2x)x
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  3. #3
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    thank you so much
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  4. #4
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    and for the domain of V:

    since the least x can be is 0 and the most 3; because you would cut x=3, which would eliminate your side lenght 6.

    then; 0<2x<6
    0<x<3 means that Domain of V = (0,3)
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