From each corner of a square of tin, 12 cm on a side, small squares of side x are removed and the edges are turned up to form an open box. Express the volume V(cm3) as a function of x. Determine the range of x.

1 answer

base will be 12 - 2x by 12-2x, height will be x

V = x(12-2x)^2

range of x: 0 < x < 6