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