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M N R!-- P O T S

M N R!-- P O T S

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Name the polyhedral by type and base. Identify the bases.

 

The image illustrates a three-dimensional geometric figure known as a parallelepiped, specifically a type known as a prism. It has two parallel, congruent bases and rectangular sides. Let's break down the diagram: 1. **Vertices**: The corners of the shape are labeled as M, N, O, P, Q, R, S, and T. 2. **Edges**: - The vertical edges are MN, PQ, and RS. - The horizontal edges on the top face are MO and NP, and on the bottom face, they are QT and TR. 3. **Faces**: - The top face is a parallelogram formed by vertices M, N, O, P. - The bottom face is another parallelogram formed by vertices Q, R, S, T. - The side faces are rectangles, including one example formed by vertices M, N, R, Q. 4. **Dashed Lines**: - The dashed lines indicate edges that are not directly visible from the perspective shown. These are the internal edges of the prism and help visualize its three-dimensional nature. This shape is typically used in geometry to explore relationships between edges, vertices, angles, as well as to calculate surface area and volume.
Transcribed Image Text:The image illustrates a three-dimensional geometric figure known as a parallelepiped, specifically a type known as a prism. It has two parallel, congruent bases and rectangular sides. Let's break down the diagram: 1. **Vertices**: The corners of the shape are labeled as M, N, O, P, Q, R, S, and T. 2. **Edges**: - The vertical edges are MN, PQ, and RS. - The horizontal edges on the top face are MO and NP, and on the bottom face, they are QT and TR. 3. **Faces**: - The top face is a parallelogram formed by vertices M, N, O, P. - The bottom face is another parallelogram formed by vertices Q, R, S, T. - The side faces are rectangles, including one example formed by vertices M, N, R, Q. 4. **Dashed Lines**: - The dashed lines indicate edges that are not directly visible from the perspective shown. These are the internal edges of the prism and help visualize its three-dimensional nature. This shape is typically used in geometry to explore relationships between edges, vertices, angles, as well as to calculate surface area and volume.
Expert Solution
Step 1

Since ,in this given  polyhedron , it's  faces  are not congruent  to each other. 

Therefore 

 It is a irregular polyhedron  .

 bases of this polyhedron are  MPQT  and NOSR .

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