question_answer

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will be need to form a cube?

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.