The length of diagonal of a cuboid is 10cm and sum of its length,breadth,and height is80 cm. Find the total surface area of the cuboid.
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actually
diagonal of cuboid =root (l^2+b^2+h^2)
5root5=root (l^2+b^2+h^2)
now squaring both side
125=l^2+b^2+h^2
now use formula
(a+b+c)^2=a^2+b^2+c^2+2 (ab+bc+ca)
(l+b+h)^2=l^2+b^2+h^2+2 (lb+bh+hl)
(19)^2=125+ total area of cuboid
total area of cuboid=361-125=236 cm^2
diagonal of cuboid =root (l^2+b^2+h^2)
5root5=root (l^2+b^2+h^2)
now squaring both side
125=l^2+b^2+h^2
now use formula
(a+b+c)^2=a^2+b^2+c^2+2 (ab+bc+ca)
(l+b+h)^2=l^2+b^2+h^2+2 (lb+bh+hl)
(19)^2=125+ total area of cuboid
total area of cuboid=361-125=236 cm^2
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