Question 30

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

Given, a cube of side 5 cm is cut into 1 cm cubes
The volume of big cube $= 5 \times 5 \times 5$
$= 125 c m^{3}$
Now, the big cube is cut into 1 cm cubes.
$∴$ The number of small cubes $= \frac{125}{V o l u m e o f 1 s m a l l c u b e} = \frac{125}{1}$ .
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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Volume of a Cube

Standard VIII Mathematics

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Question 30 A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ___

Question 30

A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ___