E-OP02 · A rectangular sheet with two algebraic candidates
A 20 cm by 32 cm rectangular sheet has squares of side x cm cut from each corner. Folding the edges forms an open box.
Express the volume V in terms of x, and state the feasible interval.
Find all stationary candidates and identify which is feasible.
Justify the greatest volume and give all three box dimensions.
Complete-answer checking, worked solutions and indicative written criteria.
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