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.
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