Let’s form two cubes with sides of length 5 cm and 1 cm

Let us calculate the number of small cube to form the big cube.

We have to form two cubes of lengths 5 cm and 1 cm.

We know, a cube is symmetrical three-dimensional shape, either solid or hollow, contained by six equal squares.

We need to find the number of small cubes to form the big cube.

For this, we need to find the volume of the big cube.

Volume is the amount of space that a substance or object occupies, or that is enclosed within a container, and that is why we need to find volume to further find number of small cubes in that big cube.

Take the cube of length 5 cm.

Volume of cube of length 5 cm is given as

Volume = length × length × length

Since, length = 5 cm

⇒ Volume = 5 × 5 × 5 cm³

⇒ Volume = 125 cm³

This means, in the cube of length 5 cm, we have 125 cm cubes.

Now, take the cube of length 1 cm.

Volume of cube of length 1 cm is given as

Volume = length × length × length

Since, length = 1 cm

⇒ Volume = 1 × 1 × 1 cm³

⇒ Volume = 1 cm³

This means, in the cube of length 1 cm, we have 1 cm cubes.