Geometry and TrigonometryHardLongest diagonal of a box
Geometry and Trigonometry practice question
A rectangular box measures 4 by 6 by 10. What is the length of the longest diagonal inside the box, rounded to the nearest tenth?
Answer: 12.3
The space diagonal is √(16 + 36 + 100) = √152 ≈ 12.3.
Common wrong answers
- If you answered 20
- 20 adds the two largest dimensions.
- If you answered 11.7
- 11.7 uses only the 6 and 10 faces.
- If you answered 7.2
- 7.2 uses only 4 and 6.
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