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Geometry · Chapter 12 · Lesson 12.3 · Printable PDF

The Five Regular Solids Worksheet with Answer Key

6 problems on the five regular solids: angle gaps at vertices, counting vertices, edges and faces, a straw frame, paper for a dodecahedron lampshade, Euler's formula, and slicing corners off an octahedron. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable The five regular solids worksheet with answer key - Geometry (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Use the 720 degree gap total to find vertices, edges and faces of regular solids.
  2. Find the number of edges, vertices and faces of Hannah's straw frame.
  3. Find the paper needed to cover a dodecahedron lampshade.
  4. Find the vertices, faces and edges of a polyhedron made of triangles with 4 corners where five triangles meet.
  5. Name polyhedra with 6 and 8 edges and show none has exactly 7.
  6. Find the faces and counts after slicing the corners off a regular octahedron.

Teach it first

The free lesson teaches it with worked examples and practice problems.

The five regular solids: the lesson ›

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