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.Com
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)   (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Let x = side length of the cube-shaped container.

Then 

 = ,

 =  = ,

x =  = 2016 units.

Answer. 2016 units.


RELATED QUESTIONS

a metal cube od side 11 cm is completely submerged in water contained in cylindrical... (answered by josgarithmetic)
a cube is submerged in water in a cylindrical container of water with a 12 cm radius. the (answered by macston)
When completely full, a cube-shaped container will hold 8,000 cubic centimeters of water. (answered by jhunjiro)
a cubical container with base of 36 square cm is half filled with water if a cube with an (answered by rothauserc)
To study amoebae in pond water, a student completely filled two cube-shaped containers... (answered by ikleyn)
A rectangular fish tank has a base 2 feet wide and 3 feet long. When the tank is... (answered by mananth)
when a cube is completely submerged in a cylindrical jar of radius 3.5 cm containing... (answered by ikleyn)
when a cube is completely submerged in a cylindrical jar of radius 3.5 cm containing... (answered by ikleyn)
a cube-shaped container has a volume of 3.5L. What is the side length of the container,... (answered by rfer)