🚀 CalcForge is in beta. Your feedback shapes the product. Tell us what you think
mediumf(x) Applications·20 pts·0 solved

Maximizing Box Volume

Problem Statement

Squares of side x are cut from a 12×12 sheet to fold an open box.Find x that maximizes the volume V(x)=x(122x)2.\text{Squares of side } x \text{ are cut from a 12×12 sheet to fold an open box.} \\ \text{Find } x \text{ that maximizes the volume } V(x)=x(12-2x)^2.

Your Answer (variable: x)

Live LaTeX preview appears here as you type…
Guest mode: browsing only. Log in to submit and track progress.

Hints

Discussion (0)

Loading discussion…

f(x)

Tips

  • Use standard math syntax: ^ for powers, * for multiplication.
  • Functions: sin, cos, tan, exp, log (natural log), sqrt.
  • Constants: pi, e.
  • For antiderivatives you can omit "+ C".