Question

Three metal cubes whose edges measure 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find (i) side-length (ii) total surface area of the new cube. What is the difference between the total surface area of the new cube and the sum of total surface areas of the original three cubes?

Answer 1

We have.

(i) If all the three cubes are melted together, the volume of the new single cube can be calculated as :

Let the side of the new cube be l.

(ii)

Thus, the difference is