Euler’s Formula Classifying Three Dimensional Shapes Any Observations?

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Presentation transcript:

Euler’s Formula Classifying Three Dimensional Shapes Any Observations? Shape of Bases # of Faces # of Edges # of Vertices Square Prism Rectangular Prism Hexagonal Prism Triangular Prism Square Pyramid Triangular Pyramid Cylinder Cone Sphere

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 cross-section 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.htm#sphere