# A rectangular cubical piece of metal of dimensions 2 cm*3cm*4cm is melted.Some more of the metal is added and it is made into a cube .The cube has integral measures for its sides.what is the minimum amount of metal that is added and what is the size of this cube?

Hi,

Volume of the metallic cuboid

= l × b × h

= 2 × 3 × 4 = 24 cubic cm.

The smallest cube nearer to 24 is 27.

Therefore,

The minimum amount of metal to

be added =27-24= 3 cubic cm.

Thus

the volume of the cube formed

= 27 cubic cm.

But a

^{3}= 27

a = 3 cm.

Hence the length of side of the cube formed

is 3 cm .

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