Answer:
Volume of one cube shaped block is, 0.125 cubic feet
Step-by-step explanation:
Volume of a cube(V) is given by:
[tex]V = a^3[/tex] .....[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.
⇒[tex]\text{Edge length of storage} = 2\frac{1}{2} = 2.5 ft[/tex]
It is also given that:
The edge length of each block is 1/5 the edge length of the storage container
⇒[tex]\text{Edge length of each block (a)} = \frac{1}{5} \cdot 2.5 = 0.5 ft[/tex]
Substitute this in [1] we have;
[tex]V = (0.5)^3 = 0.125 ft^3[/tex]
Therefore, volume, in cubic feet, of one cube-shaped block is, 0.125
