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  • The sum of the length,breadth and height of a cuboid is 38cm and the length of its diagonal is 22cm. Find the surface area of cuboid.

The sum of the length,breadth and height of a cuboid is 38cm and the length of its diagonal is 22cm. Find the surface area of cuboid.

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eginarrayl extGiven extLengthleft(l ight)+ extbreadthleft(w ight)+ extheightleft(h ight)=38 cm\ extDiagonalleft(d ight)=22 cm\ extSurface area of Cuboid left(s ight)=?\ extWe know, d=sqrtleft(l^2+w^2+h^2 ight)Rightarrow d=sqrtleft(l+w+h ight)^2-2left(lw+wh+hl ight)\ 22=sqrt38^2-2left(lw+wh+hl ight)Rightarrow22^2=38^2-2left(lw+wh+hl ight)\ 2left(lw+wh+hl ight)=960\ extSince s=2left(lw+wh+hl ight)Rightarrow s=960 cm^2endarray

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Deependra Verma

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