Chapter 11 Flashcards
Three dimensional figure whose surface are polygons
Polyhedron
The number if faces verities and edges of a polyhedron are related by the formula F+V = E+2
Euler’s formula
Each polygon
Face
Segment that is formed by the intersection if two faces
Edge
Point where the three or more edges meet
Vertex
Intersection of a solid and a plane
Cross Section
Lateral area of prism is product of perimeter of base multiplied by height
Lateral surface area of a prism theorem —–11-1
Sum of lateral area and the areas of the two bases
Surface area of prism
Polyhedron with exactly two congruent parallel faces these faces are called a base
Prism
Other faces
Lateral face
Perpendicular segment that joins the planes of the base
Altitude
Length of altitude
Height
Sum of the areas of the lateral faces
Lateral area
Sum of the lateral area and area of the two bases
Surface area
Faces that are rectangles and a lateral edge is altitude
Right lateral faces
Some or all of the lateral faces are nonrectangualer
Oblique prisms
Lateral area is the product of the circumference if the base and the height of the cylinder
Theorem 11-2 lateral area of cylinder
Sum if the lateral area and area of two bases
Surface area of right cylinder
Two congruent parallel bases
Cylinder
Circles
Bases
Area after you unroll it
Lateral area of cylinder
Segment joining the centers of the base is a altitude
Right cylinder
Segment joining the centers of the bases is not perpendicular to the places contains the bases
Oblique cylinder
The lateral area of a regular pyramid is half the product of the perimeter of the base and the slant height
Lateral area of a regular pyramid
Sum of lateral area and area of base
Surface area of regular pyramid
Polyhedron in which the base can be any polygon and the other faces are triangle that meet at common vertex
Pyramid
Base is regular polygon and lateral faces are congruent isosceles triangles
Regular pyramid
Perpendicular segment from the vertex to place of base
Altitude of pyramid
Length of altitude
Height of pyramid
Length if altitude of a lateral face of pyramid
Slant
Sum of the areas of the congruent lateral faces
Lateral area of pyramid
Area of its base added to lateral a area
Surface area of pyramid
Lateral area of a right come is half the product of the circumference of the base and slant height
Lateral area of come
Sum of lateral area and base
Surface area of right come
Pointed with circle base
right come
Perpendicular segment from the vertex to a point one edge of base
Altitude
Distance from vertex to a point on the edge of the base
Slant height
Half perimeter times height
Lateral area
Pi r squared plus pi r l
Surface area
If two spaces have the same height and the same cross sectional area at entry level then they have the same volumes
Cavelerries principle
The volume of prism is base times height
Volume of prisms
Space that figure occupies
Volume
Three dimensional figure that is the combination of two or more simpler figures
Composite space figure
Volume of cylinder is pi r squared time height
Volume of cylinder
Space figure take ups
Volume
1/3 BH
Volume of pyramid
1/3 pi r squared time height
Volume of a Cone
Surface area of sphere is four time product of oh and the square of radius 4 pi r squared
Surface area of sphere
V= 4/3 pi r cubed
Volume of sphere
Set of all points in space equidistant from a given point called center
Sphere
Segment that has one endpoint at the center and the other endpoint on the sphere
Radius
Intersection of sphere and plane containing the center and the other endpoint in sphere
Great circle
Circumference of sphere
Circumference of great circle
