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