Volume of the cube is increased by 72.8%. Find the length of new cube if the length of the original cube was 10 cm.
1. 11
2. 12
3. 14
4. 16
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Correct Answer – Option 2 : 12
Given :
The volume of cube increased by 72.8%
The original length of the cube was 10 cm
Formula Used :
The volume of cube = a3 (where a is the side of the cube)
Calculations :
Side of the original cube = 10 cm
The volume of the original cube = 103
⇒ 1000 cm3
The volume of the cube is increased by 72.8%
Volume of new cube = 1000 + 72.8% of 1000
⇒ 1000 + 728 = 1728 cm3
Let the length of new cube ‘x’
1728 = (x)3
⇒ x = 12 cm
∴ The length of the side of the new cube is 12 cm