Cube-shaped blocks are packed into a cube-shaped storage container. the edge of the storage container is 2 1/2 feet. the edge length of each block is 1/5 the edge length of the storage container. what is the volume, in cubic feet, of one cube-shaped block?

Volume of one cube shaped block is, 0.125 cubic feet

Step-by-step explanation:

Volume of a cube(V) is given by:

                .....[1]

where a is the edge length of the cube.

As per the statement:

Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.

⇒

It is also given that:

The edge length of each block is 1/5 the edge length of the storage container

⇒

Substitute this in [1] we have;

Therefore,  volume, in cubic feet, of one cube-shaped block is, 0.125