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Last Updated on May 4, 2023
GMAT OFFICIAL GUIDE PS
Solution:
To solve this problem we must remember that given any rectangular solid, the longest line segment that can be drawn within the solid will be one that goes from a corner of the solid, through the center of the solid, to the opposite corner, or in other words, the space diagonal of the solid.
The space diagonal can be calculated using the extended Pythagorean theorem:
diagonal^2 = length^2 + width^2 + height^2
Using the values from the given information we have:
d^2 = 10^2 + 10^2 + 5^2
d^2 = 100 + 100 + 25
d^2 = 225
√d^2 = √225
d = 15
Answer: A
