A cube has a volume of 8 cubic meters, If each side is doubled in length what will its new volume be in cubic meters?
- 32
- 16
- 64
- 48
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
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