Question

how many Cubes if edge 1cm can be made from a cube of edge 5cm.

Answer 1

Volume of cube..
$l \times l \times l$
Volume of edge 1 cm cube is 1....
Volume of cube edge 5 is 125...

No of cubes... 125/1=125 cubes

Answer 2

When a solid objects is transformed into more solid objects. The volume remains.

Let x 1 cm cubes are made out of 5 cm cube.

Then Volume of 5 cm cube = Volume of ' x ' 1 cm cubes.

Now, Volume of 5 cm cube = 5³ = 125 cm³ .

Volume of one ' 1 ' 1 cm cube = 1³ = 1cm³ .

Now, Volume of x such cubes = x cm³

So, x = 125 .

(Or)

Number of 1 cm cubes = Volume of 5cm cube / Volume of 1 cm cube

= 5³ / 1³ = 125 .

Therefore," 125 " 1 cm cubes can be made our of a 5 cm cube.