Math 125 (CRN 10240,11371,15269)
Fall 2013
Quiz 2 (8-26-13)
Carter
Name
A box with an open top is to be constructed from a rectangular
piece of cardboard that is 14 inches by 22 inches by cutting
out equal squares of side length x from each corner and folding
up the sides as indicated. Express the volume as a function of
x.
Solution.
V = x(22−2x)(14−2x) = 4x(77−18x+x2 ) = 308x−72x2 +4x3 .
x
x
x
x
x
x
14”
x
22”
x
Name