The dimensions of a metallic cuboid a...

The dimensions of a metallic cuboid are: `100\ c mxx80xx64\ c m` . It is melted and recast into a cube. Find the surface area of the cube.

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Given
Dimensions`=100cmxx80xx64`cm
Volume`=lxxbxxh`
`=100xx80xx64`
`=512,000cm^3`
Volume of cube`=a^3`
`=(512000)^3`
`=80`
`:.` Surface area of cube`=6a^2`
`=6xx(80)^2`
`= 6xx6400`
`=38400 cm^2`

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