Question

Compare and contrast a triangular prism and a triangular pyramid. In your response, include the shape and number of bases, and the shape and number of lateral faces.

Answer 1

A great way to organize this would be to make a t-chart!

Triangular Prism         |        Triangular Pyramid
                                |
*2 triangular bases     |       *1 triangular base
                                 |
 *3 lateral faces in the |      * 3 lateral faces in the 
  shape of rectangles  |         shape of triangles

Answer 2

These are the following comparison between the triangular prism and a triangular pyramid given below.

The prism has 2 bases, but the pyramid has only 1 base.

Both figures have 3 lateral faces, but the lateral faces of the prism are rectangles, whereas the lateral faces of the pyramid are triangles.

The sides of the pyramid meet at a point.

What are a triangular prism and a triangular pyramid?

The sides of the triangular prism, which are rectangular in shape are joined each other side by side.

All cross-sections parallel to the base faces are the same as a triangle.

A triangular pyramid has four triangular bases unlike the triangular prism, joined with each other and all are congruent to each other.

These are the following comparison between the triangular prism and a triangular pyramid given below.

• The prism has 2 bases, but the pyramid has only 1 base.

• Both figures have 3 lateral faces, but the lateral faces of the prism are rectangles, whereas the lateral faces of the pyramid are triangles.

• The sides of the pyramid meet at a point.

• A triangular prism has 2 bases both of which are triangles and a triangular pyramid has 1 base that is a triangle so the similarity is that both have a triangle base and a difference is the number of bases.

Learn more about prism and pyramid here;

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