Question

A cube of lead with edges measuring 6cm each is melted and formed into 27 equla cubes what is length of the edges of new cubes

Answer 1

We know when an object is transformed to another object(s) then volume of both object(s) is equal.

Here a cube of 6 cm edge is melted to form 27 small cubes

Let the edge of new cubes be x each

∴ Volume of Cube which was melted = Volume of newly formed 27 cubes

We know that volume of cube = side³

∴ 6³ = 27 × x³

27 x³ = 216

x³ = 216/27

x³ = 8

x = 2

∴ Edge of each new cube is 2 cm