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      Question

      Find the sum of areas of surfaces of an open chalk box

      that is in the shape of Cuboid. Statement I:  Sum of all three dimensions of the chalk box is 36 cm                                Statement II:  Square of the length of body diagonal is 464 cm2 In each of the following questions, two statements or three statements are given. You are expected to solve them and determine which statement or combination of statements is sufficient to answer the question.
      A Statement I alone is sufficient to answer the question Correct Answer Incorrect Answer
      B Statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
      C Statement I and II together are sufficient to answer the question Correct Answer Incorrect Answer
      D Statement I and II together are not sufficient to answer the question Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Statement I. L + B + H = 36 ………….. (1) Statement II. (L2 + B2 + H2) = 464………… (2) On combining both statement (L + B + H) = 362 L2 + B2 + H2 + 2 x (LB + BH + HL) = 1296 2 x (LB + BH + HL) = 1296 – 464 = 832 We need to calculate the value = LB + 2(BH + HL) This combination is not sufficient to answer the question

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