SOLUTION: A box is to be made from a 24 by 32 rectangular piece of aluminum with by cutting a 6x inches square from each corner. Express the volume of the box as a function of x, And find
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Question 1058650: A box is to be made from a 24 by 32 rectangular piece of aluminum with by cutting a 6x inches square from each corner. Express the volume of the box as a function of x, And find the domain. Answer by ikleyn(52803) (Show Source):
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A box is to be made from a 24 by 32 rectangular piece of aluminum with by cutting a 6x inches square from each corner.
Express the volume of the box as a function of x, And find the domain.
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Volume = (24-12x)*(36-12x).
The domain is
12x < 24, and
12x < 36,
which gives
0 <= x < 2.