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Polyhedra (pl) or Polyhedron (s)• A solid figure that has polygons for its faces.• A solid figure with a curved surface is NOT a polyhedron!
Prism (polyhedron)• A solid that has two congruent and parallel bases• All other faces are parallelograms
Pyramid (polyhedron)• A solid that has only 1 base• All other faces are triangles
Definitions• Faces – the flat surfaces of the shape• Edges – the line segments that are formed by the faces connecting• Vertices – the corners where the edges meet (sing. – vertex) Vertex Face Edge
Solids (non-polyhedra)• Cones – 1 base that is a circle• Cylinders – 2 bases that are circles• Spheres – all points equidistance from the center in 3D form
To name a polyhedron:• First name the shape of the base• Then determine if the shape is a prism or pyramid• The name of the 3-D shape is the combination of the name of the base plus the word “prism” or “pyramid” after it
Basic Construction• Prisms – • Have 2 parallel and congruent bases • The base shape tells you how many other faces you will have • All other faces will be parallelograms• Pyramids • Have 1 base • The base shape will tell you how many other faces you will have • All other faces will be triangles
How to make a net for a prism.• Draw a rectangle.• Place the base shape on top and one on bottom.
How to make a net for a prism.• Count the number of sides on the base and have the same number of rectangles
How to make a net for a prism.• Make certain that you have a base on top and one on bottom, otherwise it does not matter where you place the base shapes.
How to make a net for a pyramid.• Draw the base shape. The number of sides will tell you how many triangles to add to the shape.
How to make a net for a pyramid.• Then attach a triangle to each side of the base polygon.