An open box with a square base is to be made from a square piece of cardboard 41 inches on a side by cutting out a square from each corner and turning up the sides.

Question

the volume of the box in terms of x is V(x)=(41-2x)(41-2x)(x) what is the domain of V(x)?

Answer 1

If the depth is 1"; then the L and w=39".

anyway:

(41-2x)(41-2x)x=

(1681-82x-82x+4x^2)x=

1681x-82x^2-82x^2+4x^3=

4x^3-164x^2+1681x=cu/in

Is the depth 1"?