Question
If the edge of the cube is increased by 100%, 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 = 2x unit
New volume = (2x)³ = 8x³ cubic unit
Increase in volume = 8x³ – x³ = 7x³ cubic unit
Percentage increase = (7x³ / x³) × 100 = 700%
5, 24, 47, 76, 113, ?.
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