The length of the longest rod that can fit in a cubical room of 4 m side is?
Correct answer: C. 6.928 m
- A. 8.66 m
- B. 5.196 m
- C. 6.928 m
- D. 7.264 m
Explanation
The longest rod in a cubical room is the space diagonal, not an edge or a face diagonal. For side 4 m, the diagonal is sqrt(4 m squared + 4 m squared + 4 m squared) = 4sqrt3 m = 6.928 m approximately. Students may choose 5.196 m, option b, by calculating a face diagonal incompletely or using the wrong formula.
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