Question

A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have?

Answer 1

I've gotten this far:

This is the volume function:f(x) = 4x^3 - 160x^2 + 1200x

Answer 2

Could someone help check this for me and help me figure the local maximum between x = 0 and 10?

Answer 3

@sweetburger

Answer 4

@Luigi0210

Answer 5

@ash2326