Question:
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
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The number of smaller cubes from a larger cube is given by:
\[ N = \frac{\text{Volume of Larger Cube}}{\text{Volume of Smaller Cube}} \]
\[ N = \frac{\text{Volume of Larger Cube}}{\text{Volume of Smaller Cube}} \]
Updated On: Oct 27, 2025
- \( 4 \)
- \( 8 \)
- \( 12 \)
- \( 16 \)
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The Correct Option is B
Solution and Explanation
The volume of a cube is:
\[
V = \text{side}^3
\]
For a cube of side 8 cm:
\[ V_1 = 8^3 = 512 \text{ cm}^3 \] For a cube of side 4 cm:
\[ V_2 = 4^3 = 64 \text{ cm}^3 \] Number of smaller cubes:
\[ N = \frac{V_1}{V_2} = \frac{512}{64} = 8 \]
\[ V_1 = 8^3 = 512 \text{ cm}^3 \] For a cube of side 4 cm:
\[ V_2 = 4^3 = 64 \text{ cm}^3 \] Number of smaller cubes:
\[ N = \frac{V_1}{V_2} = \frac{512}{64} = 8 \]
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