Monday

March 2, 2015

March 2, 2015

Posted by **Lucas** on Tuesday, May 15, 2012 at 1:42am.

- geometry -
**Reiny**, Tuesday, May 15, 2012 at 8:43amthe height of the tetrahedron will hit the centroid of the base.

and will be 2/3 of the way from the vertex.

Length of median of base:

m^2 + 3^2 = 6^2

m= √27 =3√3

so distance from vertex to centroid = (2/3)(3√3) = 2√3

let the height of the pyramid be h

h^2 + (2√3)^2 = 6^2

h = √24 = 2√6

area of base = (1/2)(6)(6)sin60°

= 18√3/2 = 9√3

volume of tetrahedron

= (1/3) base x height

= (1/3)(9√3)(2√6) = 18√2

**Answer this Question**

**Related Questions**

Calculus/Derivitives - A regular tetrahedron is a four sided pyramid with each ...

maths - The sides of a tetrahedron are 4 equilateral triangles. If the base of ...

Chemistry - General Chemistry 111 11/28/11 Chapter 9 Extra Credit Quiz Name: ...

physics - Four charges are arranged at the corners of a regular tetrahedron (a ...

Physics Important please - Four charges are arranged at the corners of a regular...

Physics pls anyone can help me? its urgent - Four charges are arranged at the ...

geometry - Find the surface area of a tetrahedron that has edges the length of ...

Consumer Math - A pyramid composed of four equilateral triangles, called a ...

MATH - A regular triangular pyramid has an altitude of 9m and a volume of 46.8cu...

Calculus - set up an integral to find the volume of an equilateral tetrahedron.