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1957 AMC 12 Question 6

AMC12 · 1957 AMC 12

Question 6

An open box is constructed by starting with a rectangular sheet of metal $10$ in. by $14$ in. and cutting a square of side $x$ inches from each corner. The resulting projections are folded up and the seams welded. The volume of the resulting box is:
  1. $140x-48x^2+4x^3$
  2. $140x+48x^2+4x^3$
  3. $140x+24x^2+x^3$
  4. $140x-24x^2+x^3$
  5. none of these