Explanation

If each side of the cube is doubled in length, the new side length will be twice the original side length. Since the volume of a cube is proportional to the cube of the side length, the new volume will be:

New volume = (2 × original side length)^3

Since the original volume is 8 cubic meters, we can find the original side length by taking the cube root of 8:

Original side length = ∛8 = 2 meters

Now, we can find the new volume:

New volume = (2 × 2)^3 = (4)^3 = 64 cubic meters

So, the correct answer is: 64