12.1 12.2 And 12.4 Flashcards
Edge
Line segment formed by the intersection of two faces
Polyhedron
Solid bounded by polygons called faces that enclose a single region of space
Vertex
Point where three or more edges meet
12.1 eulers Thm
The number if faces vertices and edges. Is related by f+v=e+2
Surface
All points on a polyhedrons faces
Convex polyhedron
Any two points on its surface can be connected by a line segment that lies entirely inside or on the polyhedron
Regular polyhedron
A polyhedron is regular if all it’s all it’s faces are congruent regular polygons and the same number faces meet at each vertex in exactly the same way
Tetrahedron
A regular polyhedron with four faces
Octahedron
Regular 8 faces
Dodecahedron
Regular 12 faces
Isosohedron
Regular with 20 faces
Prism
A polyhedron that has two parallel congruent faces called bases
Altitude height
The perpendicular distance between the bases of a prism
Surgace area of a right cylinder Thm
S=2b +ch= 2rh
Right prism
Each literal edge is perp to both bases
Surface area
The sum of the areas of its faces
Surface area of a right prism Thm
S=2b+ph
Circular cylinder
A solid with congruent circular bases that lie in parallel planes
Right cylinder
A cylinder is right if the segment joining the centers of the bases are perpendicular to the bases
Volume
Number of cubic units contained in its interior
Volume of a cube post
The volume of a cube is the cube or thelength of its side
V=s cubed
Volume of a prism post
V= area of b times height
Volume of a cylinder post
V = area of b times height = pie r height
