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
Solution:
The correct answer is option (c) 1000
Explanation:
We know that, the volume of cube is (side)3
Therefore, the volume of each small cube is (20)3
= 8000 cm3
When it is converted into m3, we get
V = 0.008 m3
It is given that, the volume of the cuboidal box is 23 = 8 m3
Now, the number of small cubes that can be accommodated in the cuboidal box is
= 8/ 0.008 = 1000