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      Question

      What is the length of the longest pole that can be

      placed in an indoor stadium 24 m long, 18 m wide and 16 m high?
      A 38 m Correct Answer Incorrect Answer
      B 34 m Correct Answer Incorrect Answer
      C 42 m Correct Answer Incorrect Answer
      D 36 m Correct Answer Incorrect Answer

      Solution

      The longest pole that can be placed in an indoor stadium is the space diagonal of the rectangular prism formed by the stadium. To find the length of the space diagonal, we use the Pythagorean theorem in three dimensions. d2=l2+b2+h2 =242+182+162 =576+324+256 d2=1156 d= √ 34×34 =34m.

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