perplexus.info :: Geometry : Pyramid Resolution

Pyramid Resolution (Posted on 2012-06-14)

In a regular triangular pyramid SABC (S is the vertex), E is the midpoint of the slant height of the face SBC. The points F, L and M respectively lie on the edges AB, AC and SC and, |AC| = 10*|AL|.

It is known that EFLM is an isosceles trapezoid and the length of its base EF is equal to √7.

Find the volume of the pyramid.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required volume of the pyramid is 16√2/3.
For an explanation, refer to the solution submitted by Bractals here and here.

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

Subject	Author	Date
re: Solution	Bractals	2012-06-15 12:29:13
Solution	Bractals	2012-06-15 01:14:35

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