SOLUTION: A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in the cube-shaped container rises 252 units. Find the

Algebra ->  Surface-area -> SOLUTION: A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in the cube-shaped container rises 252 units. Find the      Log On


   



Question 1025708: A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container.
If the water level in the cube-shaped container rises 252 units. Find the length of a side of the cube-shaped container.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container.
If the water level in the cube-shaped container rises 252 units. Find the length of a side of the cube-shaped container.
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Let x = side length of the cube-shaped container.

Then 

252%2Ax%5E2 = 1008%5E3,

x%5E2 = 1008%5E3%2F252 = 4064256,

x = sqrt%284064256%29 = 2016 units.

Answer. 2016 units.