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:

The number of smaller cubes from a larger cube is given by:
\[ N = \frac{\text{Volume of Larger Cube}}{\text{Volume of Smaller Cube}} \]

Answer 1

The Correct Option is B

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:
\[ N = \frac{V_1}{V_2} = \frac{512}{64} = 8 \]