Question

The dimensions of a metallic cuboid are 100cm× 80 cm× 64cm. It is melted and recast into a cube. Find the surface area of the cube.

Answer 1

Let the edge of cube be a.

As, 

Volume of cube = Volume of cuboid 

`rArr a^3 = 100xx80xx64`

`rArr a^3 = 100xx80xx64`

`rArr a = root(3)(512000)`

⇒ a =80 cm

Now, the surface area of the cube = 6a²

=6 ×80 ×80 

= 38400 cm²

So, the surface area of the cube is 38400 cm².