NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 7. Cubes and Cube Roots

Subject: Maths - Class 8th

Q. No. 4 of Exercises 7.1

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

As per the question,

There are ome cuboids of size 5 x 2 x 5


When these cuboids are arranged to form a cube, the side of this cube so formed is going to be a common multiple of the sides (i.e., 5, 2, and 5) of the cuboid.


LCM of 5, 2, and 5 = 10

Let us try to make a cube of 10 cm side

For this arrangement, we have to put:

2 cuboids along with its length,

5 along with its width


2 along with its height

Total cuboids required according to this arrangement = 2 x 5 x 2

= 20

With the help of 20 cuboids of such measures, a cube is formed as follows:


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