# The dimensions of

Given,

The dimensions of a metallic cuboid = 100 cm × 80 cm × 64 cm

Let’s find out the volume of the cuboid first;

Volume of the cuboid = l × b × h

100 × 80 × 64 = 512000cm3

As cuboid is recast into a cube;

So,

Volume of cube = volume of cuboid

l3 = 512000 l =

l = 80 cm

Now,

As the length of the side of the cube = 80 cm

The surface area of the cube = 6(l)2

= 6 x 80 x 80

= 38400 cm2

So, the surface area of the cube is 38400 cm2

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