Step 1. To find the volume of a cube, we use the following formula:
[tex]V=s^3[/tex]
Where V is the volume and s is the length of the side of the cube.
In this case:
[tex]s=\frac{3}{8}km[/tex]
Step 2. Substituting the value of s into the formula:
[tex]V=(\frac{3}{8}km)^3[/tex]
This can be simplified as follows:
[tex]V=\frac{3^3}{8^3}km^3[/tex]
Calculating 3^3 is 3x3x3=27 and 8^3 is 8x8x8=512, thus:
[tex]V=\frac{27}{512}km^3[/tex]
This is the solution represented as an improper fraction.
Answer:
[tex]\frac{27}{512}\text{ cubic kilometers}[/tex]
