You can put this solution on YOUR website! the rectangular prism has three sides a, b, c
:
surface area(SA) = 2ab +2bc +2ac = 100
:
volume(V) = abc
:
the rectangular prism of maximum volume is a cube, therefore
:
a = b = c
:
2a^2 +2a^2 +2a^2 = 100
:
6a^2 = 100
:
a^2 = 100/6 = 50/3
:
a = 5sqrt(2/3)
:
V = a^3 = 125 * (2/3) * sqrt(2/3) = 250/3 * sqrt(2/3) approximately 68.0414 square units
:
:
You can put this solution on YOUR website! The other tutor said, "the rectangular prism of maximum volume is a cube..."
===================
I think that is true, but so far have not been able to prove it.
