Question

Each edge of a metal cube measures 3 cm and it weighs 5 kg. What is the length of another cube of same metal weighing 40 kg?

Answer 1

We have,

Each edge of a metal cube measures 3 cm and it weighs 5 kg,

Now we know that,

Volume of a cube is (Edge)³

Then, the volume of the cube is (3)³ = 27 cm³

That is 5 kg of metal cube carries 27 cm³

1 kg of metal cube carry `27/5 cm^3`

Then, 40 kg of metal cube carries `27/5 xx 40` cm³ = 216 cm³

(Edge)³ = 216 cm³

(Edge) = 6 cm

Therefore, the length of another cube of same metal is 6 cm.