Question
If the edge of the cube is increased by 10%, 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 = 1.1x unit
New volume = (1.1x)³ = 1.331x³ cubic unit
Increase in volume = 1.331x³ – x³ = 0.331x³ cubic unit
Percentage increase = (0.331x³ / x³) × 100 = 33.1%
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