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Problem 19 - Entrance Test
A rectangular prism has dimensions 4, 5, and 6. What is the length of the longest line segment that can be drawn within the prism?
A. √41
B. √61
C. √77
D. 5√2
E. √101
Check Answer
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Correct: C
The longest line segment within a rectangular prism is the space diagonal. Its length is √(l² + w² + h²) = √(4² + 5² + 6²) = √(16 + 25 + 36) = √77.