Answer:
The sides of a cuboid are 5 cm, 2 cm, 5 cm. Let Parikshit needs n such type of cuboid to make it cube. Hence, the volume of cuboids \[=n\times 5\times 2\times 5~\]\ Since, this volume forms a cube and the volume of a cube is a perfect cube, of positive integer. To form \[5\times 5\times 2~\]a perfect cube, we need the factor \[5\times 2\times 2=20.\] Hence, n = 20. Therefore, Parikshit needs 20 such type of cuboids to make it cube.
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