Problema Solution
form a 24 inch by 24 inch piece of metal , squares are cut one of the four corners so that the sides can then be folded up to make a box. let x represent the length of the sides of the squares, in inches, that are cut out . express the volume of the box as a function of x.
Answer provided by our tutors
The length of the base of the box are: '24 - 2x' while the height of the box is 'x'.
The volume of the box is:
V = (24 - 2x)*(24 - 2x)*x
V = 4x^3 - 96x^2 + 576x
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The volume of the box as a function of x is: V = 4x^3 - 96x^2 + 576x.