Square corners cut from a 30 cm by 20 cm piece of cardboard create a box when the 4 remaining tabs are folded
upwards. The voulume of the box is V(x)= x(30-2x)(20-2x), where x repersents the height.
a) Calculate the volume of a box with a height of 2 cm.
b) Calculate the dimensions of a box with a volume of 1000 cm^3.
c) Solve V(x) > 0, and discuss the meaning of your solution in the context of the question.
d) state the restrictions in the context of the question.