Question 209222
a box in the shape of a cuboid with a square base and the sum of all its dimensions is 20cm . Find the dimensions for maximum volume and find the maximum volume. 
:
max volume is a perfect cube, therefore: 20/3 = 6{{{2/3}}}cm on each side
:
max vol {{{(20/3)^3}}} = 296.296 cu/cm