SOLUTION: An open rectangular box (no top) with volume 7 cubic meters has a square base. Express the surface area of the box as a function of the length of one of the sides.

Algebra ->  Surface-area -> SOLUTION: An open rectangular box (no top) with volume 7 cubic meters has a square base. Express the surface area of the box as a function of the length of one of the sides.      Log On


   



Question 346981: An open rectangular box (no top) with volume 7 cubic meters has a square base. Express the surface area of the box as a function of the length of one of the sides.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
length be l
l^3= 7
l= cuberoot(7)
...
area of one face of the box = (cuberoot(7))^2
5 faces
surface area = 5%2A%28cuberoot%287%29%29%5E2
surface area = 5*7^(1/3*2)
=5*7^(2/3)