Icosahedron Study Guide
An icosahedron is a three-dimensional geometric shape that has 20 equilateral triangular faces, 30 edges, and 12 vertices. It is one of the five platonic solids, which are the only regular polyhedra.
Key Concepts
- Faces: The 20 faces of an icosahedron are all equilateral triangles.
- Edges: There are 30 edges in an icosahedron.
- Vertices: An icosahedron has 12 vertices.
- Euler's Formula: F + V - E = 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
- Surface Area and Volume: Use specific formulas to calculate the surface area and volume of an icosahedron.
- Net of an Icosahedron: The net consists of 20 triangular faces that can be folded to form the icosahedron.
Study Guide
- Vertices, Edges, and Faces: Understand the relationship between the number of vertices, edges, and faces in an icosahedron.
- Euler's Formula: Practice using Euler's formula to calculate the number of faces, vertices, and edges in different polyhedra, including the icosahedron.
- Surface Area and Volume: Work through examples of calculating the surface area and volume of an icosahedron using the specific formulas.
- Net of an Icosahedron: Practice identifying and constructing the net of an icosahedron, and understand how it can be folded to form the icosahedron.
◂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.