Question

If the side of a cube is increased by 20%, then what will be the percentage increase in the volume of cube?​

Answer 1

Answer:

72.8 percent

Step-by-step explanation:

Let the initial length of side be a units

Volume = a³ cube units

The length of sides is increased by 20%

Therefore, new length = (100+20/100) a units = (120a/100) units = (6a/5) units

New volume = (6a/5)³ = (216a³/125) cube units

Change in volume = (216a³/125) - a³

                               = (216a³-125a³)/125

                               = 91a³/125

Percentage = (91a³/125/a³) × 100

                    = (91/125) × 100

                    = 72.8 percent

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