# Word Problem 2

Problem 2: If there are three metallic cubes with sides of 3 cm, 4 cm and5 cm respectively, and if these cubes are melted together to make one cube, what will be the side of the new cube?

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Solution:

There are three metallic cube boxes and suppose there volumes are V1, V2, and V3

Now let us calculate volumes of each cube box;

We use formula for calculation of volume;

For cube Box with each side of 3cm;

For cube Box with each side of 4cm;

For cube Box with each side of 5cm;

Now suppose when all these three  boxes are melted and mixed to form a single box, the each side of that single cube box is ‘y’

So, then for that single cube box ;

But this volume of single cube box should be equal to sum of volumes of all three above cube boxes !

i-e

Cancel out powers on both sides;

So, each side of coalesced  cube is 8 cm length

So, Volume of new coalesced cube ;

(basic mathematics for general public)



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