Three cubes of metal with edges 3cm, 4 cm and 5 cm respectively are melted to form a single cube. The lateral surface area of the new cube formed is

Answer

`144 cm^(2)`

Explanation

Volume of the new cube `= (3^(3) + 4^(3) + 5^(3)) = cm^(3) = 216 cm^(3)`
Edge of this cube = a cm, where `a^(3) = 216`
`:.` a = 6 and the lateral surface area of the new cube is `4a^(2) cm^(2)`