Number of faces edges and vertices in a triangular prism

Asked by admin @ 01/12/2021 in Mathematics viewed by 311 People

20 points!

Which of the following correctly shows the number of faces, edges, and vertices of the triangular prism below.
Question options:
6 faces, 10 edges, 6 vertices
5 faces, 9 edges, 6 vertices
5 faces, 6 edges, 9 vertices
6 faces, 9 edges, 5 vertices

Answered by admin @ 01/12/2021

Hello!

I believe that the Triangular Prism has 5 faces, 9 edges, and 6 vertices

To find how many faces the Prism has, you can count the two triangles and three rectangles that make up the shape, which when they are added up (2+3), it makes 5 sides.

To find the edges, you'll need to count each line that makes up the Prism. To help, the two triangles are made up of three lines each, the bottom rectangle has two lines, and the line on the top. Once you add all of those lines together (3+3+2+1), you'll have 9 edges.

Lastly, to find the vertices, you'll need to count each point of the Prism, or the points of where each line end. Now the only vertices that there are in the Prism are the points of the two triangles. So the triangles would have three vertices each. Once you've added three w/ three (3+3), you'll get 6 vertices.

And that's how you find the Faces, Edges, and Vertices of the Prism

I hope this helps!

Number of faces edges and vertices in a triangular prism

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