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 )
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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