Question

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

Please answer step-by-step.

Answer 1

Answer : 20 cuboids

Step-by-step explanation:

Given :

Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm.

To find :

How many such cuboids will he need to form a cube?

Side of a cube :-

LCM of 5, 2 and 5 is 10

Therefore Side of a cube is 10 cm

Volume of a cube :-

side is 10 cm

volume = 10 x 10 x 10 = 1000 cubic cm

Volume of a cuboid :-

Given sides of a cuboid are 5cm 2cm and 5cm

=> 5 x 2 x 5 = 50 cubic cm.

Number of cuboids needed :-

=> volume of cube/ volume of cuboid

=> 1000/50

=> 20.

Hence, 20 cuboids are needed to form a cube.