Dodecahedron Study Guide
Definition
A dodecahedron is a three-dimensional shape with 12 flat faces, 20 vertices, and 30 edges. Each face is a regular pentagon, meaning it has 5 equal sides and 5 equal angles.
Properties
- Number of Faces: 12
- Number of Edges: 30
- Number of Vertices: 20
- Face Type: Regular Pentagon
- Symmetry: 3 axes of 4-fold symmetry
- Surface Area: The formula for the surface area of a dodecahedron is:
3 × √25 + 10 × √5 × s^2wheresis the length of the side of the regular pentagon. - Volume: The formula for the volume of a dodecahedron is:
((15 + 7 × √5)/4) × s^3wheresis the length of the side of the regular pentagon.
Visual Representation
Here is a visual representation of a dodecahedron:
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Examples of Dodecahedra in Real Life
Dodecahedra can be found in various real-life objects such as soccer balls, molecular structures, and gemstones.
Conclusion
The dodecahedron is a fascinating geometric shape with unique properties and applications in different fields.
.◂Math Worksheets and Study Guides Seventh Grade. Organizing Data
Study Guide
Organizing Data 
Worksheet/Answer key
Organizing Data Worksheet/Answer key
Organizing Data Worksheet/Answer key
Organizing Data
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Data Analysis and Probability (NCTM)
Select and use appropriate statistical methods to analyze data.
Find, use, and interpret measures of center and spread, including mean and interquartile range.