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Question
A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ______.
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Solution
A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is none.
Explanation:
Given, a cube of side 5 cm is cut into 1 cm cubes.
The volume of big cube = 5 × 5 × 5 = 125 cm3
Now, the big cube is cut into 1 cm cubes.
∴ The number of small cubes = `125/"Volume of 1 small cube" = 125/1`
Thus, the volume of big cube = The volume of 125 cubes having an edge 1 cm
Hence, there is no change in the volume.
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