A cuboid of sides 3cm*3cm*5cm.how many such cuboids will be needed to form a cube
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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 necessary to form a cube.
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