Question

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is

• A. 12 cm
• B. 14 cm
• C. 16 cm
• D. 18 cm

Answer 1

Answer:

A. 12 cm

Solution:

As we know,

Volume of cube = a³

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm.

Let the edge of bigger cube be A

Volume of cube of bigger cube = Sum of volume of all three cubes

A³ = 6³ + 8³ + 10³ = 216 + 512 + 1000 = 1728

⇒ A = ∛1728

⇒ A = 12

∴ Edge of bigger cube = 12 cm