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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To find how many smaller cubes can be formed, divide the volume of the larger cube by the volume of the 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 the original cube with side 8 cm is:
\[
\text{Volume of original cube} = 8^3 = 512 \, \text{cm}^3.
\]
The volume of a smaller cube with side 4 cm is:
\[
\text{Volume of smaller cube} = 4^3 = 64 \, \text{cm}^3.
\]
The number of smaller cubes that can be formed is the ratio of the volumes:
\[
\frac{512}{64} = 8.
\]
Thus, the correct answer is 8.
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