A box without a lid is made from a sheet by cutting a square of side from each corner and folding up the sides. What is the largest possible volume?

Answer and explanation

Correct answer: D. cubic units, at the cut (base side 8)

  1. Step 1: The volume is , and . Step 2. The critical point in is , giving . **Answer: cubic units, at the cut (base side 8). Why not the others:** is the area of the sheet, is , and is at no valid cut, since must be below 6.

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