Problema Solution
A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 256 in3. How big a piece of cardboard is needed?
Answer provided by our tutors
the problem statement references an image which does not appear to be described
let 'x' represent the original length of the square cardboard
once the corners are cut, the dimensions of the box will be a square bottom with sides (x-4) and a height of 4
volume =height * length * width
256 = (x-4)^2 * 4
solving for 'x' we have a positive value of x=12
the original piece of cardboard would need to be 12 inches square