A child has a piece of flat cardboard with dimensions of 40 cm by 44 cm. She cuts out small congruent squares from each corner of the cardboard. She then folds up the sides of the cardboard creating a box with a height that is the same as the side length of the removed squares. The box does not have a top.
The side length of each of the removed squares is 4x. Which of the following equations represents the volume of the box?
None of these.
V(x)=(40−8x)(44−8x)(4x)
V(x)=(40−4x)(44−4x)(4x)
V(x)=(40)(44)(4x)
V(x)=(40−2x)(44−2x)(2x)