A Box from a Sheet of Metal
Source:
June 7, 2009
geometry3D geometryprism
Problem Statement
An open box is constructed by starting with a rectangular sheet of metal in. by in. and cutting a square of side 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}