**Solution:**

To form a cube using cuboids, we need to ensure that all the dimensions of the cuboids are equal. In this case, the given dimensions of the cuboid are 5 cm, 2 cm, and 5 cm. Since these dimensions are not equal, we cannot directly form a cube using a single cuboid.

To understand how many cuboids are needed to form a cube, we need to find the common length that can be shared by all the dimensions of the cuboid.

One way to find the common length is by finding the greatest common divisor (GCD) of the given dimensions. The GCD will be the length that can be shared by all the dimensions of the cuboid.

Let's find the GCD of the given dimensions.

**Finding the GCD:**
- The prime factors of 5 are 5.
- The prime factors of 2 are 2.
- The prime factors of 5 are 5.

Since there is no common prime factor among all the given dimensions, the GCD will be 1. Therefore, there is no common length that can be shared by all the dimensions.

Hence, we cannot form a cube using a single cuboid with the given dimensions.

However, if we are allowed to break the cuboid into smaller pieces, we can rearrange them to form a cube.

Let's try to rearrange the given cuboid into a cube by breaking it into smaller pieces.

**Rearranging the Cuboid:**
- The given cuboid has dimensions 5 cm, 2 cm, and 5 cm.
- We can break the cuboid into smaller pieces of dimensions 1 cm, 1 cm, and 1 cm.

By breaking the cuboid into smaller pieces, we can rearrange them to form a cube with each side measuring 1 cm.

Therefore, to form a cube, we will need 50 smaller cuboids (5 cm * 2 cm * 5 cm = 50 cuboids).

Hence, Parikshit will need 50 such cuboids to form a cube using the given dimensions.

Volume of the cubiod=l×b×h
=5×2×2cm3
=20cm3
Factorisation of 20=then we have to multiply 50 with 20
then50×20=100
then the cube root of 100 is 10
Thus,10 more such cubiod are needed to form a cube.