The sum of length, breadth and depth of a cuboid is `19cm` and length of its diagonal is `11 cmdot` Find the surface area of the cuboid.

Explanation

given ,

`l+b+h=19cm`.......(1 )

`(l^2+b^2+h^2)^(1/2)=11cm`

`(l^2+b^2+h^2)=11^2cm^2`...(2)

it can be rewritten as,

`(l+b+h)^2-2(lb+bh+hl)=121`

`19^2-2(lb+bh+hl)=121`

`2(lb+bh+hl)=240cm^2`