Two cubes of the sides 3m, 4m, and 5m are melted to form a new cube. The side of the new cube isChoices:- 12m 10m 8m 6m

The volume of a cube is given by the formula V = a^3, where a is the side length of the cube.

First, we need to find the volume of the two original cubes.

The volume of the first cube is 3m * 3m * 3m = 27 cubic meters.

The volume of the second cube is 4m * 4m * 4m = 64 cubic meters.

The volume of the third cube is 5m * 5m * 5m = 125 cubic meters.

When these cubes are melted to form a new cube, the volume of the new cube is the sum of the volumes of the original cubes.

So, the volume of the new cube is 27 cubic meters + 64 cubic meters + 125 cubic meters = 216 cubic meters.

To find the side length of the new cube, we take the cube root of the volume.

The cube root of 216 is 6.

So, the side length of the new cube is 6m.

Therefore, the correct answer is 6m.