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Question: Answered & Verified by Expert
A point $P(1,2,3)$ is one vertex of a cuboid formed bythe coordinate planes and the planes passing through $P$ and parallel to the coordinate planes. What is the length of one of the diagonals of the cuboid?
MathematicsThree Dimensional GeometryNDANDA 2015 (Phase 1)
Options:
  • A $\sqrt{10}$ units
  • B $\sqrt{14}$ units
  • C 4 units
  • D 5 units
Solution:
1736 Upvotes Verified Answer
The correct answer is: $\sqrt{14}$ units
Length of one of the diagonal of cube
$=\sqrt{(1)^{2}+(2)^{2}+(3)^{2}}$
$=\sqrt{1+4+9}=\sqrt{14}$ units
$\therefore \quad$ Option (b) is correct.

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