Question
The sum of length, breadth and height of cuboid is 20cm.If the length of the diagonal is 12 cm, then find the total surface area of the cuboid( in cm 2 )
Solution
l+ b+ h = 20 Diagonal =12 Diagonal = √ l2+b2+h2 (l+ b+ h)2 = l2+b2+h2+ 2(l b+ b h +h l) (20)2 = (12)2 +2(l b+ b h +h l) 400 = 144 +2(l b+ b h +h l) 2(l b+ b h +h l) = 400-144=256 Total surface area of cuboid =256
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