A piece of cardboard measuring 12 inches by 8 inches is formed into an open-top box by cutting squares with side length x\displaystyle {x} from each corner and folding up the sides.

Find a formula for the volume of the box in terms of x\displaystyle {x}

V(x)\displaystyle {V}{\left({x}\right)} =  

Find the value for x\displaystyle {x} that will maximize the volume of the box

x\displaystyle {x} =  

License