Question
The sum of the length, width, and height of a cuboid is
30 cm. If the length of the diagonal of the cuboid is 25 cm, find the total surface area of the cuboid.Solution
l+ b+ h = 30 Diagonal =25 Diagonal = √l2+b2+h2 (l+ b+ h)2 = l2+b2+h2+ 2(l b+ b h +h l) (30)2 = (25)2 +2(l b+ b h +h l) 900 = 625 +2(l b+ b h +h l) 2(l b+ b h +h l) = 900-625=275 Total surface area of cuboid =275 cm2
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