Question

How many cubes of side 4 cm can be formed from a cube of side 8 cm?

• A. 4
• B. 8
• C. 12
• D. 16

Hint:

To find how many smaller cubes can be formed, divide the volume of the larger cube by the volume of the smaller cube.

Answer 1

The Correct Option is B

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.