Question

Find the number of small cubes with edge 20 cm that can be accommodated in a cubical box of 2 metre edge

Answer 1

Heya !!!

Here is your answer,

Edge of small cube = 20 cm

Volume of small cube = (side)³
= (20)³ =2×2×2 = 8000 cm³

Edge of big cube = 2 m = 200 cm
( 1 m = 100 cm
So, 2 m = 2×100 = 200cm )

Volume of big cube = (side)³
= (200)³ = 200×200×200 = 8000000 cm³


Number of small cube accommodate in big cube

= 8000000/8000 = 1000

Hence, 1000 cubes will be accommodate in a cubical box of 2m edge.

Hope it helps.

Answer 2

volume of cubical box= 2×2×2 m cube
8 m cube= 8000000 cm cube
volume of each small cube=8000 cm cube
therefore no of small cubes that can b accommodated= 8000000÷8000
=1000