Question

A metal cube of edge 6 cm is melted and formed into three smaller cubes. if the edge of two smaller cubes are 5cm and 3cm find the edge of the third smaller cube.​

Answer 1

Step-by-step explanation:

Let the edge of the other cube be 'a'.

Given, 12^3 =b^3+8^3 +a^3 (volume remains the same)

a^3 =12^3−6^3−8^3

a^3 =1728−216−512

a^3 =1000

a=10

Edge of the cube = 10 cm.