Asked by Rishab
An open box with square bases is to be made out of a given quantity of cardboard of area Csquare. show that the maximum volume of box is ccube/6√3cubic unit
Answers
Answered by
Steve
maximum volume is achieved when the box is a cube.
The area of the box is c^2, so each face has area c^2/6
That means the side has length c/√6.
v = (c/√6)^3 = c^3/(6√6)
Hmmm. Better double-check my math.
The area of the box is c^2, so each face has area c^2/6
That means the side has length c/√6.
v = (c/√6)^3 = c^3/(6√6)
Hmmm. Better double-check my math.