Transcript Euler’s Formula Classifying Three Dimensional Shapes

Euler’s Formula
Classifying Three Dimensional Shapes
Any Observations?
Shape of
Bases
Square Prism
Rectangular
Prism
Hexagonal
Prism
Triangular Prism
Square Pyramid
Triangular
Pyramid
Cylinder
Cone
Sphere
# of Faces
# of Edges
# of Vertices
Square Prism
A prism is a space figure with two congruent,
parallel bases that are polygons.
Rectangular Prism
A prism is a space figure with two congruent,
parallel bases that are polygons.
Hexagonal Prism
A prism is a space figure with two congruent,
parallel bases that are polygons.
Triangular Prism
A prism is a space figure with two congruent,
parallel bases that are polygons.
Square Pyramid
A pyramid is a space figure with a square base
and 4 triangle-shaped sides.
Triangular Pyramid
(Tetrahedron)
A tetrahedron is a 4-sided space figure. Each face of a tetrahedron is a
triangle.
Cylinder
A cylinder is a space figure having two congruent circular bases that are
parallel.
Cone
A cone is a space figure having a circular base and a single vertex.
Sphere
A sphere is a space figure having all of its points the same distance from its center. The
distance from the center to the surface of the sphere is called its radius. Any crosssection of a sphere is a circle.
Net Square Prism(Cube)
Net Rectangular Prism
Net Hexagonal Prism
Net Triangular Prism
Net Square Pyramid
Net Triangular Pyramid
Net Cylinder
Net Cone
Net Sphere
Nets of Prisms
Website for Reference
• http://gwydir.demon.co.uk/jo/solid/index.ht
m#sphere