Acube 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.

The length of a side of the cube-shaped container is 2,016 units

Step-by-step explanation:

step 1

Find the volume of a cube with a side length of 1008 units

The volume of a cube is equal to

where

b is the length side of the cube

we have

substitute

step 2

Find the length side of the cube-shaped container  

Let    

x-----> the length side of the cube-shaped container in units

we know that

The area of the base of the cube-shaped container multiplied by 252 units must be equal to the volume of the cube with a side length of 1008 units

so

solve for x

therefore

The length of a side of the cube-shaped container is 2,016 units

.95

step-by-step explanation: