Answer:
The original length of the edges are equal to 2 cm.
Step-by-step explanation:
The volume of a cube is given by the following expression:
[tex]V = a^3[/tex]
Where "a" is the length of each edge of the cube. Assuming that the original cube had a length of "x", then its volume would be:
[tex]V_{original} = x^3[/tex]
Since the edges of the cube got scaled by a factor of 2, then the new edges are "2*x" and the volume is:
[tex]V_{new} = (2*x)^3\\V_{new} = 8*x^3\\64 = 8*x^3\\x^3 = \frac{64}{8}\\x^3 = 8\\x = \sqrt[3]{8} = 2[/tex]
The original length of the edges are equal to 2 cm.
