Question
If the edge of the cube is increased by 5%, then find the
percentage increase in the volume of the cube.Solution
Let the edge of the cube be x unit
Volume of cube = x³ cubic unit
New edge = 1.05x unit
New volume = (1.05x)³ = 1.157625x³ cubic unit
Increase in volume = 1.157625x³ – x³ = 0.157625x³ cubic unit
Percentage increase = (0.157625x³ / x³) × 100 = 15.7625%
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