Question

7. Three cubes of edges x cm , 6 cm, and 8 cm are melted and recast into a bigger cube of

edge 12 cm , find the value of x?

Answer 1

10 cm³

Explanation:

Volume of a cube = (Side)³

Volume of bigger cube = (12)³

(12)³ = 1728 cm³

Volume of three cubes = (x)³ + (6)³ + (8)³ = 1728

(x)³ = 1728 - (6)³ - (8)³

(x)³ = 1000

x = ∛1000

x = 10 cm³