Question

Ravindra and ravi made a cuboid of plasticine of dimensions 12cm, 8cm and 3cm. How many minimum number of such cuboids will be needed to form a cube? 2 Ask for details Follow Report by nisodirid

Answer 1

Volume of cuboid=l*b*h
                            =12*8*3
                            =288 cm^3

Now we will do prime factorisation
(To get the number to multiply 288 to make it a cube)
We get the prime factors as 2,2,2,2,2,3,3

We have to get triplets of prime factors.So we will multiply the remaining numbers that are required to form the triplet.

2 has one triplet but to complete the second triplet we have to get one more 2 and to complete triplet of 3 we have to get one more 3.

So multiply remaining numbers=2*3
                                                 =6

Therefore we need 6 cuboids as this one to form a cube.