Question

The edges of three solid cubes are 6 cm, 8 cm, and 10 cm. These cubes are melted and recast into a single cube. Find the edge of the resulting cube.

Answer 1

Edge of first solid cube = 6 cm

Volume = (6)³ = 216 cm³

Edge of second cube = 8 cm

Volume = (8)³ = 512 cm³

Edge of third cube = 10 cm

Volume = (10)³ = 1000 cm³

Sum of volumes of three cubes = 216 + 512 + 1000= 1728 cm³

Let a be the edge of so formed cube volume = a³

a³ = 1728 = (12)³

a = 12 cm