Question

The edge of a cube is $20$ cm. How many small cubes of $5$cm edge can be formed from this cube?

• A. $4$
• B. $32$
• C. $64$
• D. $100$

Answer 1

Answer: (C)

$64$

Volume of the original cube, $V=(\text{Length of it's edge}{)}^3$

$\Rightarrow {20}^3=8000{\text{cm}}^3$

Volume of the small cube, $v=(5{)}^3=125{\text{cm}}^3$

Number of the small cubes made from original cube $=\frac{V}{v}$

$\Rightarrow \frac{8000}{125}=64$