1.

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

Answer»

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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