Question

Three cubes whose edges measures 3cm, 4cm, 5cm respectively are melted to form a single cube,find the surface area of new cube, supposing that there is no waste in the process

Answer 1

Answer:

Surface area of new cube = 216 cm²

Step-by-step explanation:

Let the edge of the new cube be x cm

ATQ,

⇒ x³ = 3³ + 4³ + 5³

⇒ x³ = 216

⇒ x = ∛216

⇒ x = 6

∴ Edge of the new cube = 6 cm

∴ Surface area of new cube = 6x² cm²

                                               = 6 * 36 cm²

                                              = 216 cm²