Three metal cubes have edges measuring 3 dm, 4 dm, and 5 dm respectively. If these cubes are melted and recast into a single cube, what will be the length of the edge of the new cube?

Explanation

To find the edge of the new cube, first calculate the total volume by adding the volumes of the three cubes: 3³ + 4³ + 5³ = 27 + 64 + 125 = 216 cubic decimeters. The edge length of the new cube is the cube root of 216, which is 6 decimeters.