rvrao000

From a 15 inch by 15 inch piece of cardboard, four congruent squares are to be cut out, one at each comer. The remaining cross-like piece is then to be folded into an open-topped box, What size squares should be cut out to maximize the volume of the resulting box? 15 in 15 in

7. A square sheet of cardboard of side length a is used to make an open box by cutting equal squares from the four corners and folding up the sides. What size squares in terms of a should be cut out of the corners to obtain a box of maximum possible volume? What is the maximum possible volume (in terms of a)? Show all work and justification in your solution. (13 points)