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 )
    A 324 Correct Answer Incorrect Answer
    B 524 Correct Answer Incorrect Answer
    C 400 Correct Answer Incorrect Answer
    D 252 Correct Answer Incorrect Answer

    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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