A rectangular sheet of metal measures 50cm by 40cm .Equal squares of side x cm are cut from each corner and discarded.The sheet is then folded up to make a tray of depth x cm.what is the domain of possible values of x.Find the

Question

values of x which maximise the capacity of the tray.

Answer 1

So the base will be 50-2x by 40-2x, and the height is x

Volume = x(50-2x)(40-2x)
domain clearly has to be 0 < x < 20 or else we get negative sides

expand, take the derivative, set that equal to zero and solve for x

Answer 2

64737373mL

Answer 3

So if you times the answer by five and then multiply it by six you’re onto the 6991 mm