perplexus.info :: Shapes : Volume Ratio Validation

Volume Ratio Validation (Posted on 2015-01-18)

ABCD is a tetrahedron. The three edges at B are mutually perpendicular. O is the midpoint of AB and K is the foot of the perpendicular from O to CD.

Given that AC = x, BD = y, AB = z, and:
2*x*y = z²

Determine the ratio: volume(KOAC)/volume(KOBD) in terms of x, y and z.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Volume(KOAC) x²-z² ------------ = ----- Volume(KOBD) y²
For an explanation, refer to the solution submitted by Jer in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	Bractals	2015-01-22 15:57:27
Solution	Jer	2015-01-22 08:28:06

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