Question

How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge

• A. 10
• B. 100
• C. 1000
• D. 10000

Answer 1

The correct option is C 1000

Volume of cube = $(side{)}^3$ or $a^3$
Volume of each small cube = ${20}^3$ = $8000c{m}^3$ = $0.008m^3$
Now, volume of the cubical box = $2^3$ = $8m^3$
Therefore, no. of small cubes, that can just be accommodated in the cubical box = $\frac{Vol.ofcubicalbox}{Vol.ofsmallcube}$ = $\frac{8}{0.008}$ = 1000