A box w/no top is 2 b made frm a sq by cutting & folding 4" sq's @ corners. Holds 100cu". How big a piece req

Answer 1

Since the box is square, the bottom sides are equal in length. We'll say they are x. The 4" squares cut from the corners means the sides of the box are 4" high, so the volume is 4*x*x=100,
or 4X^2=100
x=5
Now add 8" to each side to get the flat paper dimensions, the paper is 13"X13"

Answer 2

caricature the 10cm sq., on the corners positioned x with the help of x packing packing containers to be shrink out from he 10 with the help of 10 sheet of paper. while the tabs so created are folded up we could have an open field with quantity. V = (10 - x)^2*x = 100x -20x^2 +x^3 V = 100x -20x^2 +x^3 dV/dx = one hundred -40x +3x^2 Set the derivative equivalent to 0 and clean up for x to end the project.