Question
The sum of length, breadth and height of cuboid is
25cm.If the length of the diagonal is 15 cm, then find the total surface area of the cuboid. (in cm 2 )Solution
l+ b+ h = 25 Diagonal =15 Diagonal = √ l2+b2+h2 (l+ b+ h)2 = l2+b2+h2+ 2(l b+ b h +h l) (25)2 = (15)2 +2(l b+ b h +h l) 625 = 225 +2(l b+ b h +h l) 2(l b+ b h +h l) = 625-225=400 Total surface area of cuboid =400cm 2
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