SOLUTION: URGENT QUESTION. help needed. THanks the question is- a box in the shape of a cuboid with a square base and the sum of all its dimensions is 20cm . Find the dimensions fos maximum

Algebra ->  Volume -> SOLUTION: URGENT QUESTION. help needed. THanks the question is- a box in the shape of a cuboid with a square base and the sum of all its dimensions is 20cm . Find the dimensions fos maximum      Log On


   

Question 209222: URGENT QUESTION. help needed. THanks the question is-
a box in the shape of a cuboid with a square base and the sum of all its dimensions is 20cm . Find the dimensions fos maximum volume and find the maximum volume.

Thanks. Heaps
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 = 62%2F3cm on each side
:
max vol %2820%2F3%29%5E3 = 296.296 cu/cm