STUDY AND DEFINITION OF 3 DIMENSIONAL SHAPES
3 DIMENSIONAL SHAPES continued

PART TWO - Pyramids

DEFINITIONS

Pyramid

a polyhedron with a polygon base, and triangular faces with a common vertex

CONSTRUCTIONS
1. Build a triangular based pyramid using 3 triangles and 1 triangle frame.

2. Build a square based pyramid using 4 triangles and 1 square frame.

3. Build a pentagon based pyramid using 5 triangles and 1 pentagon.

4 Face Pyramid	5 Face Pyramid	6 Face Pyramid
base plus 3 sides	base plus 4 sides	base plus 5 sides

Test your knowledge of the attributes of pyramids -

4. Identify which of the above is a tetrahedron*, and which is hexahedron, and explain why. *Tetrahedron - a polyhedron with 4 faces

5. Calculate how many faces, edges and vertices each one has

6. What are the patterns between the number of faces, edges and vertices ? When you increase the number of faces, what happens to the number of vertices ? And what happens to the number of edges ?

7. Test the formula for pyramids that E = (F x 2) - 2. And V = F

PART THREE - Prisms

DEFINITIONS
Prism - a polyhedron with 2 equal polygonal faces in parallel planes, and all the other faces being (equal) rectangles.

CONSTRUCTIONS - PRISMS
8. Build a triangular prism using 3 squares plus a triangle frame at each end.

9. Build a quadrangular prism using 4 squares & a square frame at each end.

10. Build a pentagonal prism using 6 squares, with a pentagon at each end.

11. Build a hexagonal prism using 6 squares, with a hexagon at each end.

12. Build a star shape prism using the hexagonal prism as a base to build on.

Triangular Prism	Pentagonal Prism	Star Shaped Prism
2 equal triangular faces in parallel planes	2 equal pentagonal faces in opposing planes	2 equal star shaped faces in opposing planes

Test your knowledge of the attributes of prisms -

13. Calculate how many faces, edges and vertices each one has

14. What are the patterns between the number of faces, edges and vertices ?

15. Test the formula for prisms that E = (F + V) - 2. And V = 2F - 4.

16. Solve these two formula to find the value of E as an expression of F.

• Lesson 1
  Study and Definition of 2 Dimensional Shapes
• Lesson 2
  Study and Definition of 3 Dimensional Shapes
• Lesson 3
  Dimensional Nets for 3 Dimensional Solids
• Lesson 4
  Calculating the Area of 2 Dimensional Shapes
• Lesson 5
  Studying the Relationships between Area and Perimeter

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