Chapter 11 Flashcards
Surface area of a regular prism
=ph+2b
Eulers Formula
f+v=e+2
Surface area of a cylinder
Pi d h+ 2 pi r squared
Surface area of a pyramid
1/2 pl +b
Surface area of a cone
Pi r l +pi r squared
Surface area of a sphere
4 pi r squared
Volume of a prism
BH
Volume of a cylinder
Pi r squared h
Volume of a pyramid
1/3 BH
Volume of a cone
1/3 pi r squared h
Volume of a sphere
4/3 pi r cubed
Three dimensional figure whose surfaces are polygons
Polyhedron
Each polygon is a face of the polyhedron
Face
Segment that is formed by the intersection of two faces
Edge
A point where three or more edges intersect
Vertex
Intersection of a solid and a plane
Cross section
A polyhedron with exactly two congruent parallel faces
Prism
Two congruent parellel faces
Bases
Other faces that are not bases are called
Lateral faces
Perpindicular segment that joins the planes and the bases
Altitude
Length of any altitude
Height
Sum of te areas of the lateral faces
Lateral areas
Sum of the lateral area and the two bases
Surface area
Polyhedron in which one face can be any polygon
Pyramid
Length of the altitude of a lateral face
Slant height
Perpindicular segment from the vertex to the center of the base
Altitude
If two figures have the same height and the same cross sectional area at every level then they have the same volume
Cavalieris principle
Space that a figure occupies
Volume
A great circle divides A sphere into two
Hemispheres
Same shape and all their correspomding dimensions are proportional
Similar solids
Area that is similar to that of a pyramid
Surface area I a cone
A pyramid whose base is a regular polygon and whose lateral faces are congruent to is collects triangle
Regular pyramid
