MHB How to Use the General Slicing Method to Find the Volume of a Tetrahedron?

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To find the volume of a tetrahedron using the general slicing method, one must first understand the geometric properties of the tetrahedron, particularly its triangular faces and edges. The tetrahedron in question has all edges measuring 3 units. The general slicing method involves integrating the area of cross-sections perpendicular to a chosen axis. Resources and examples are readily available online for further guidance on this method. Utilizing these tools can aid in grasping the concept and solving the problem effectively.
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This is a homework problem, but, my professor is OK with me getting help as long as I don't solely get answers without guidance.
I am unsure how to start this, I don't really understand it I suppose...
Anyway, here is the problem.

Use the general slicing method to find the volume of the tetrahedron (pyramid with four triangular faces), all of whos edges have length of 3.

Any help would be appreciated!:)
 
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alane1994 said:
This is a homework problem, but, my professor is OK with me getting help as long as I don't solely get answers without guidance.
I am unsure how to start this, I don't really understand it I suppose...
Anyway, here is the problem.

Use the general slicing method to find the volume of the tetrahedron (pyramid with four triangular faces), all of whos edges have length of 3.

Any help would be appreciated!:)

This question is asked regularly all over the inetubes, you need only Google for all the help you need.

One of the first hits is >>this<<

CB
 
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Hello! I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem. Given: ##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0## ##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1## ##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0## I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
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