SOLUTION: A box with an open top and a square bottom has a volume of 60 cubic centimeters. Express the surface area of the box in terms of x, where x represents one of the lengths of the bot

Algebra ->  Volume -> SOLUTION: A box with an open top and a square bottom has a volume of 60 cubic centimeters. Express the surface area of the box in terms of x, where x represents one of the lengths of the bot      Log On


   

Question 946353: A box with an open top and a square bottom has a volume of 60 cubic centimeters. Express the surface area of the box in terms of x, where x represents one of the lengths of the bottom side.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, side length of square bottom,
h, how tall the box.

Total area for the FIVE surfaces: x%5E2%2B4hx.

Volume: x%2Ax%2Ah=60
hx%5E2=60.

h=60%2Fx%5E2, substitute into the total area expression:
x%5E2%2B4%2860%2Fx%5E2%29x
highlight%28x%5E2%2B240%2Fx%29