Question

a rectangular cubical piece of metal of dimensions 2cm ×3cm ×4cm is the melted. some more of the metal is added and it is made into 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 cube

Answer 1

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 = 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 .

I hope this answer help you.