Question
If the edge of the cube is increased by 30%, 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 = 1.3x unit
New volume = (1.3x)³ = 2.197x³ cubic unit
Increase in volume = 2.197x³ – x³ = 1.197x³ cubic unit
Percentage increase = (1.197x³ / x³) × 100 = 119.7%
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