Question

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?​

Answer 1

Step-by-step explanation:

to form a cube with a cuboid every side must be equal

so we'll need the lcm of 5cm,2cm and 5cm

= 10cm

Now number of cuboid= vol³ of cube or Lcm/vol³ of cuboid

= (10cm)³/5cm×2cm×5cm

= 10cm×10cm×10cm/10cm²×5cm

= 100/5 = 20.

therefore you'll need 20 such cuboids to form a cube.

Answer 2

Answer:

20 cuboids

Step-by-step explanation:

the sides of the cuboid are given as 5 cm , 2 cm and 5 cm

volume of the cuboid = 5 * 2 *5= 50 cm

for the prime factorization of 50 we have

50 = 2 * 5 * 5

to make it a perfect cube we must have

2 * 2 * 2 * 5 * 5 * 5

20 * ( 2 * 5 * 5 )

= 20 * volume of the cuboid

thus the require number of cuboids = 20