Question

Rahul makes a cuboid of plasticine of sides 3cm×3cm×5cm. How many such cuboids will he need to form a cube?

Answer 1

Step-by-step explanation:

Prime factorisation

(So that we can find the number to multiply to get perfect cube)

so the prime factors are 3 , 3 and 5

We must have triplets in the factors.If triplets are not there we should multiply the numbers such as there is a pair of 3 and single 5 so one 3 is less from its triplet and pair of 5 is less from its triplet.

So multiply these numbers 3*5*5=75

Therefore 75 number of cuboids are needed

Answer 2

Answer:

75.

The volume occupied by one cuboid is 45 = 3*3*5.

Look at this as a number 45. The multiple of 45 which is a perfect cube is equal to 45*3*5*5, which is equal to 3*3*3*5*5*5.

So number of cuboids = 5*5*3 = 75

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