Question

the dimensions of a piece of iron in the shape of a cuboid are 270 cm × 100 cm × 64 cm.If it is melted and react into a cube,then the surface area of cube will be

Answer 1

Answer:

86400cm²

Step-by-step explanation:

Volume of the cuboid=270x100x64= 1728000cm³

Side of the cube =∛(1728000) = 120cm

Total surface area of a cube = 6a² =6x120² = 86400cm²

Answer 2

Answer:

Surface Area of the cube = 86400 cm²                

Step-by-step explanation:

Dimensions of the cuboid = 270 cm × 100 cm × 64 cm

Length = 270 cm , Width = 100 cm , height = 64 cm

Volume of cuboid = Length × Width × Height

                              = 270 cm × 100 cm × 64 cm

                              = 1728000 cm³

Cuboid is melted to form the cube. so their volume will be same.

⇒ Volume of cube = Volume of cuboid

⇒ Volume of cube = 1728000 cm³

⇒ Side³ = 1728000 cm³

⇒ side of the cube = 120 cm

Now, Surface area of the cube = 6 × side²

⇒ Surface Area of the cube = 6 × 120²

⇒ Surface Area of the cube = 86400 cm²