Question

A box is to be constructed from a sheet of cardboard that is 20 cm by 50 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? (Round your answer to two decimal places.)

Answer 1

So 0 < x < 10.
That leaves us with x=4.40 as the solution.
The size of the box:
L=50-2x=50-8.80=41.20
W=20-2x=20-8.80=11.20
H=x=4.40
Maximum Volume of the box=(41.20)(11.20)(4.40)=2030.34 cm^3

Answer 2

Thank you!!!

Answer 3

No Problem :)