Since we are cutting squares from corners and side of square removed = x, the volume of the box = area of base * height = ( 50-2x)(40-2x)x= 4x(25-x)(20-x)
The domain would be 0 < x < 20 as can be seen
An open topped box is to be made by cutting out identical squares from the corners of a rectangular piece of cardboard then folding up the resulting flaps. Thus, if the side of each removed square has length x then the box height will also be x. If the cardboard has dimensions 50cm by 40cm find an expression for the volume of the box V(x) in terms of x. What is the domain of this function? What sort of function is it (quadratic, cubic or...?)
Any help will be appreciated!