#82 · Calculus · Optimization

The open box

From a square sheet of side $a$ , you cut a small square of side $x$ from each corner and fold up the flaps to make an open box. What value of $x$ gives the box the greatest volume?

~14 minWritten answer · compare with the solutionOptimizationCritical points

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.