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?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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