Show:
Polyhedra
Cone/Cylinder/Sphere
Euler's Formula
100
True/False Prisms and Pyramids are polyhedra
True
100
True/False These shapes are non-polyhedra
true
100
True/False The formula is F + V - E = 4
false
200
A three-dimensional shape with 2 congruent, parallel polygon bases.
Prism
200
A three-dimensional shape with a flat circular base and a curved surface that tapers to an apex.
Cone
200
F = # of ______ V = # of ______ E = # of ______
faces; vertices; edges
300
A three-dimensional shape with one base that has 3 or more edges. The other faces are triangles.
Pyramid
300
A curved surface in which each point is ___________ from a single point called the center. Fill in the blank, and name the shape.
equidistant; sphere
300
A cube has 6 faces and 8 vertices. How many edges does it have?
12 edges
400
All polyhedra have ____________ for faces.
polygons
400
Describe a cylinder.
A THREE-DIMENSIONAL SHAPE with 2 congruent, FLAT CIRCULAR BASES and a CURVED SURFACE that joins the bases.
400
If a polyhedra has 12 vertices and 30 edges, how many faces does it have?
20 faces
500
The polygons of a polyhedron always have _____ or more edges.
three
500
Why are cones, cylinders, and spheres NOT polyhedra shapes?
Because polyhedra have FLAT surfaces. These 3 shapes have CURVED surfaces. But, notice cylinders still have 2 congruent, parallel circular bases (like a prism). AND cones have 1 circular base (like a pyramid).
500
Is this a polyhedron? Faces: 6 Vertices: 6 Edges: 12
NO 6 + 6 - 12 = 0 If it was a polyhedron it would equal 2!