Question

Ram makes a cuboid of plastic of sides 5cm, 2cm, 5cm. How many such cuboids will be needed to form a cube?​

Answer 1

Let us find the LCM of these three dimensions i.e, 5 × 2 × 5

That is, 10 cm

So, the side of the cube is 10 cm.

The number of cuboids needed to form a cube could be taken as n.

So,

Volume of Cube = n × Volume of Cuboid.

a × a × a = n × l × b × h

10 × 10 × 10 = n × 5 × 2 × 5

$n = \frac{10 \times 10 \times 10}{ 2 \times 5 \times 5}$

$n = 10 \times 2 = = > 20$

So, 20 cuboids are needed to form a cube.