Question

2
Draw a triangular pyramid and a prism. Write the similarities and differences between the two.​

Answer 1

Answer:

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Step-by-step explanation:

What are the similarities and differences between a triangular prism and a triangular pyramid?

Similarities between a triangular prism and a triangular pyramid:

Both have a triangular face.

In both, three faces meet at each vertex.

Differences between a triangular prism and a triangular pyramid:

1a. Triangular prism : It has two triangular face.

1b. Triangular pyramid : It has one triangular face.

2a. Triangular prism : It has three rectangular faces.

2b. Triangular pyramid : It has no rectangular face.

3a. Triangular prism : It has six vertices.

3b. Triangular pyramid : It has 4 vertices.

4a. Triangular prism : It has 2 rectangular faces and one triangular face meeting at any vertex.

4b. Triangular pyramid : It has 2 triangular faces meeting at any vertex.

5a. Triangular prism : It has 6 diagonals.

5b. Triangular pyramid : It has no diagonals.

6a. Triangular prism : It has 6 medians.

6b. Triangular pyramid : It has 12 medians.

7a. Triangular prism : It has 12 right angles, on the three rectangular faces.

7b. Triangular pyramid : It has no right angle.

Answer 2

Answer:

A triangular pyramid has a triangle for a base, and three triangles as lateral faces. A triangular pyramid has 4 faces (all triangles), 6 edges (3 on the base and 3 connecting the vertices of the base to a top vertex), and 4 vertices (3 on the bottom triangle and one at the top).

Step-by-step explanation:

triangular prism has two triangles as bases, and three parallelograms as lateral faces. A triangular prism has 5 faces (2 triangles and 3 parallelograms), 9 edges (3 on the triangular bottom base, 3 on triangular top base, and 3 connecting the vertices of the base to the corresponding vertices on the top), and 6 vertices (3 on the bottom triangle and 3 on the top triangle).

Similarly : The base shape is a triangle.

difference: The number of faces; 4 vs 5, the number of edges; 6 vs 9, the number of vertices; 4 vs 6, and the lateral faces; triangles vs parallelograms.