Answer:
1/8 meters
Step-by-step explanation:
The volume of a cube is given as the cube of the length of its sides. That is:
[tex]V = L^3[/tex]
where L = length of its side
The volume of the cube is 1/512 cubic metres.
This implies that:
[tex]\frac{1}{512} = L^3[/tex]
Find the cube root of both sides:
[tex]\sqrt[3]{\frac{1}{512} } = L\\\\=> L = \frac{1}{8}[/tex] meters
The cube has sides of length 1/8 meters
