Question

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How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?

Answer 1

The volume of a cube changes proportionally to the length of its edges. If the edge becomes 'n' times as long, the new volume will be n³ times the original volume.

Step-by-step explanation:

The volume of a cube is calculated by multiplying the length of its edges. If the edge of a cube becomes twice as long, the new volume will be 2³ or 8 times the original volume. If the edge becomes three times as long, the new volume will be 3³ or 27 times the original volume. If the edge becomes ten times as long, the new volume will be 10³ or 1000 times the original volume. In general, if the edge becomes 'n' times as long, the new volume will be n³ times the original volume.