Question

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?

Answer 1

Answer:

Volume of one cube shaped block is, 0.125 cubic feet

Step-by-step explanation:

Volume of a cube(V) is given by:

$V = a^3$                 .....[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.

⇒$\text{Edge length of storage} = 2\frac{1}{2} = 2.5 ft$

It is also given that:

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

⇒$\text{Edge length of each block (a)} = \frac{1}{5} \cdot 2.5 = 0.5 ft$

Substitute this in [1] we have;

$V = (0.5)^3 = 0.125 ft^3$

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