Square with sides of length are cut out of each corner of a rectangle Mylar piece of cardboard measuring 13ft by 8ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the box. B. Supposed that in part a the original piece of the cardboard is a square with sides of length s. Find the volume with the largest box formed this way. C. Supposed that in part a, the original piece of cardboard is a rectangle with sides of length L and W. Holding L fixed, find the size of the corner squares x that maximizes the volume of the bo as W-> infinity
If each small square has side length x ft, then
v = (13-2x)(8-2x)(x) ft^3
find where dv/dx = 0 for max volume
The rest should follow. Come back if you get stuck, and show what you got.