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Volume is in cubic units, meaning the volume ix raised to the 3rd power.

If the cube is scaled by 5, then the volume is scaled by 5^3.

5^3 = 5*5*5 = 125

The new volume would be the original volume multiplied by the total increase:

64 x 125 = 8,000 cubic meters.

Answer:

8,000

Step-by-step explanation:

When the sides of the cube are scaled by a factor of k, the volume increases by a factor of k3. Here, the new volume is 64 cubic meters × 53 = 8,000 cubic meters.

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