Question

How many cubes of $10$ cm edge can be put in a cubic box of $1$ m edge?

• A. $10$
• B. $100$
• C. $1000$
• D. $10000$

Answer 1

Answer: (C)

$1000$

Number of cubes $=\frac{Volumeofcubicbox}{Volumeof1cube}$

Edge of cubic box $=1m=100cm$.
Then, Volume of cubic box $={100}^3$.

Also, edge of $1$ cube $=10cm$.

Then, Volume of 1 cube $={10}^3$.

Therefore, required number of cubes

$=\frac{{100}^3}{{10}^3}=\frac{100\times 100\times 100}{10\times 10\times 10}=1000$.

Hence, option $C$ is correct.