**Introduction:**
To form a cube using cuboids, we need to determine how many cuboids of a given size can fit together to create a cube. In this case, we have a cuboid with sides measuring 2cm, 1cm, and 1cm. We need to calculate how many of these cuboids are required to form a cube.

**Determining the Dimensions of the Cube:**

To determine the dimensions of the cube, we need to find the length of each side. Since all the sides of a cube are equal, we can assume that each side of the cube is equal to the length of the longest side of the cuboid, which is 2cm.

Thus, the dimensions of the cube are 2cm x 2cm x 2cm.

**Calculating the Volume of the Cube:**

The volume of a cube is given by the formula V = side x side x side.

In this case, the volume of the cube is V = 2cm x 2cm x 2cm = 8cm³.

**Calculating the Volume of the Cuboid:**

The volume of a cuboid is given by the formula V = length x width x height.

In this case, the volume of the cuboid is V = 2cm x 1cm x 1cm = 2cm³.

**Calculating the Number of Cuboids Required:**

To calculate the number of cuboids required to form a cube, we need to divide the volume of the cube by the volume of the cuboid.

Number of cuboids = Volume of cube / Volume of cuboid

Number of cuboids = 8cm³ / 2cm³

Number of cuboids = 4

Therefore, Namita will need 4 cuboids of dimensions 2cm x 1cm x 1cm to form a cube.

**Conclusion:**

Namita will need 4 cuboids of dimensions 2cm x 1cm x 1cm to form a cube. This is determined by calculating the volume of both the cuboid and the cube and then dividing the volume of the cube by the volume of the cuboid.

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