2010 · Q68
The diagonals of the three faces of a cuboid are x, y, z respectively. What is the volume of the cuboid?
Elementary MathematicsMensuration
- Axyz/(2√2)
- B√((y²+z²)(z²+x²)(x²+y²))/(2√2)
- C√((y²+z²-x²)(z²+x²-y²)(x²+y²-z²))/(2√2)
- DNone of the above
Explanation
V=abc with a²=(x²+z²-y²)/2 etc. gives option (c).