Find the side of a cube if the volume is 0.001728mcube
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Given : Volume of a cube is 0.001728 m³
To Find : Side of cube
Solution:
Volume of cube = Side³
Let say side of cube = x m
Then volume = x³ cm³
x³ = 0.001728
0.001728 = 1728/1000000
= 1728 / (1000 * 1000)
= 1728 / (10³ * 10³)
1728 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3
= 2³ * 2³ * 3³
= 12³
x³ = 12³ / (10³ * 10³)
=> x = 12/ (10 * 10)
=> x = 12/100
=> x = 0.12
side of cube = 0.12 m = 12 cm
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