Question

the dimensions of a metallic cuboid are 100cmX80cmX64cm.it is melted and recast into a cube.find the surface area of the cube

Answer 1

We have to find the volume of the cube.

volume of cube = l * b * h

= 100cm * 80cm * 64cm.

= 512000cm3

Now it is melted and recast into a cube.So, we have the volume of the cube that is 512000cm3.

Volume of cube = l3.

l3 = 512000cm3

l = 80cm

So , length of side of the cub = 80 cm

Surface area o cube = 6l2

6l2 = 6 * 80cm2

= 6 * 6400cm2

=38400 cm2