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The side of large cube is four times the side of small cube. By what percent is the volume of large cube greater than the volume of small cube?

The side of large cube is four times the side of small cube. By what percent is the volume of large cube greater than the volume of small cube? Correct Answer 63%

Given:

Side of large cube = 4 × side of small cube

Concepts used:

Volume of cube = (Side)3

Percentage change = × 100

Calculation:

Let side of small cube be a units.

⇒ Side of large cube = 4a

⇒ Volume of small cube = a3 units

⇒ Volume of large cube = (4a)3 units = 64a3 units

⇒ Percentage change = / 100 = 63%

∴ Volume of large cube is greater than the volume of small cube by 63%.

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