MathDB

6

Part of 1957 AMC 12/AHSME

Problems(1)

A Box from a Sheet of Metal

Source:

6/7/2009
An open box is constructed by starting with a rectangular sheet of metal 10 10 in. by 14 14 in. and cutting a square of side x x inches from each corner. The resulting projections are folded up and the seams welded. The volume of the resulting box is: (A)\ 140x \minus{} 48x^2 \plus{} 4x^3 \qquad (B)\ 140x \plus{} 48x^2 \plus{} 4x^3\qquad \\(C)\ 140x \plus{} 24x^2 \plus{} x^3\qquad (D)\ 140x \minus{} 24x^2 \plus{} x^3\qquad (E)\ \text{none of these}
geometry3D geometryprism