**Question 6:** The volume of a box with sides of length \(a, b\) and \(c\) is \(V = abc\). The surface area of the same box is \(S = 2(ab + bc + ac)\). Derive an expression for the change in volume associated with changing the length \(a\), while holding both \(S\) and length \(b\) constant. (Hint: The algebra here becomes much simpler than it might first appear through the judicious use of partial derivative relationships.)

Given V= abc S = ( ab+bc+ac) Derive an expression for the change in the volume associated with…

Answered: Question 6: The volume of a box with…

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