How do you split a triangular prism into three triangular pyramids?

p-abcp-bcf

p-bef is a triangular pyramid divided into three prisms.

c-abb'It's b'-ABC, with C-A'b'c'Equal height, and equal base area.

The two triangular pyramids are equal in volume.

c-abb'with C-AA'b'Contour height, all C to surface AA'b'b, the bottom is a triangular prism side aa'b'b is ab'Divided equally.

The two triangular pyramids are equal in volume.

The three triangular pyramids are equal in volume.

I can't put it in the picture, so let's talk about it. Start from one side of the bottom of the triangular prism and cut it diagonally to the bottom to cut out a triangular pyramid; Then start at any one of the remaining two corners of the bottom and cut to the opposite side of the bottom.

Note: Opposite Edge The opposite edge of a corner in the triangle.

The upper and lower corners can be cut out of one side.

I can only say that I hope I can understand.

Let's start by dividing it into a triangular pyramid and a quadrangular vertebrae.

Just divide it into four more vertebrae.

Example: abc-a1b1c1 is connected to ab1

cb1ac1

Get B-ACB

b1-aa1c1

b1-acc1

Divide a triangular prism into three triangular pyramids with two sections, so that the volume of each triangular pyramid is equal.

So the volume of the triangular pyramid is equal to one-third of the volume of the triangular prism of equal height which is the nucleus.

<> as shown in the figure on the right, the straight triangular prism ABC-A B C, connect A B, and shout Hunger B'c，ca′．

Then the cross-section A cb and the surface A cb divide the straight triple return prism into three triangular pyramids, namely A -ABC, A -BCB, and exudate C-A B C

To make a triangular pyramid, you need to prepare the following materials and tools:

Materials: 1Business card paper or cardboard.

2.glue or double-sided tape.

Tools: 1Ruler.

2.Scissors.

Here's how to make it:

1.First, using a ruler and pencil, draw an equilateral triangle on business card paper or cardboard. Make sure that the three sides are equal in length. You can choose the appropriate size according to your needs.

2.Use the Cutting Taka Imperial Knife to cut out the triangle along the line drawn. Make sure to cut as precisely as possible so that you get a flat edge.

3.Fold one side of the triangle and align it with the other to glue them together. It can be fixed with glue or double-sided tape. Make sure that the two edges are tightly glued to form a corner.

4.Next, fold the third edge to align with the first two sides, and stick it together as well. In this process, care is taken to ensure that the three corners are glued together as tightly as possible.

5.Once the triangle is glued, place it upright on the table with the three corners of its bottom facing down. In this way, you are done with the production of a triangular pyramid.

Please note that the curves need to be made with precision and patience to ensure that the shape of the pyramid is flat and stable. You can also use different materials and tools to make a triangular pyramid, which is a basic method of making that you can adapt and improve according to your personal needs and creativity.

c-abb'It's b'-ABC, with C-A'b'c'Equal height, and the base area is equal The two triangular pyramids are equal in volume.

c-abb'with C-AA'b'Contour height, all C to surface AA'b'b, the bottom is a triangular prism side aa'b'b is ab'Divided equally.

The two triangular pyramids are equal in volume.

The three triangular pyramids are equal in volume.

c-abb'It's b'-ABC, with C-A'b'c'Equal height, and the base area is equal The two triangular pyramids are equal in volume.

c-abb'with C-AA'b'Contour height, all C to surface AA'b'b, the bottom is a triangular prism side aa'b'b is ab'Divided equally.

The two triangular pyramids are equal in volume.

The three triangular pyramids are equal in volume.

Connection: ca!, cb1, ab1, then the plane: acb1, a1b1c divides the original triangular pyramid into three triangular pyramids, which are: abcb1, a1b1c1c and aca1b1The first two are the same height as the bottom surface of the original triangular pyramid, so their volume is the original volume (1 3), so the volume of the third is naturally the original volume (1 3).