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      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.
      A 225 Correct Answer Incorrect Answer
      B 196 Correct Answer Incorrect Answer
      C 256 Correct Answer Incorrect Answer
      D 169 Correct Answer Incorrect Answer

      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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