Question: If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its

If a box with a square cross section is to be sent by a delivery service, there are restrictions on its size such that its volume is given by V = x2(108 - 4x), where x is the length of each side of the cross section (in inches).

(a) Is V a function of x?

(b) If V = V(x), find V(10) and V(20).

(c) What restrictions must be placed on x (the domain) so that the problem makes physical sense?

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