Three iron cubes have edges measuring 6 cm, 8 cm, and 10 cm 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 formed by melting the three cubes, first calculate the total volume by summing the volumes of the individual cubes: 6³ + 8³ + 10³ = 216 + 512 + 1000 = 1728 cm³. The edge length of the new cube is the cube root of 1728, which is 12 cm.