Question

Ananya makes a cuboid with dimensions 6 cm into 5 cm into 4 cm how many such cuboids will she need to form a cube

Answer 1

hey!!
we know 6×5×4=120
as 120 is not a perfect cube
and by prime factorisation 120=2×2×2×3×5.
so to make it a perfect cube we need to multiply it by 5×5×3×3=225
and 225×120=27000..
and so she will require 225 cuboids to form a cube..

Answer 2

Answer:

If we combine 225 such cuboids then a cube will be made

Step-by-step explanation:

As per the question,

We need to find the number of cuboids that will combine to make a cube.

As we know, given that:

Dimension of cuboid is 6 cm × 5 cm × 4 cm

So, the volume is = $6cm\times5cm\times4cm=120cm^{3}$

Now, we will do prime factorization of 120, which is:

120=(2×2×2)×3×5

Now, to form a perfect cube, we need to make cube of all the prime factors.

So, we need to multiply it by (3×3)×(5×5) = 225

Hence, if we combine 225 such cuboids then a cube will be made.

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