Chapter 11 Vocab Flashcards
Rectangular prism formula SA
SA=LA+2B: LA=ph
Triangular prism formula SA
SA=LA+2B: LA=ph
Cylinder formula SA
SA=2πrh+πr^2: LA=2πrh
Cone SA
SA=πrl+πr^2: LA=πrl
Square pyramid SA
SA=LA+s^2: LA=1/2pl
Triangular Pyramid SA
SA=LA+B; LA=1/2pl
Regular polygon pyramid SA
SA=1/2pl+1/2Pa; LA=1/2pl
Volume of a Rectangular prism
V=Bh
Volume of a Triangular prism
V=(1/2bh)h
Volume of a cylinder
V=πr^2h
Volume of a cone
V=1/3Bh
Volume of a square pyramid
V=1/3Bh
Volume of a Triangular pyramid
V=1/3Bh
Volume of a regular polygon
1/6Pah
Polyhedron
space figure or three dimensional figure whose surfaces are polygons
Face
each polygon of the polyhedron
Edge
segment that is formed by the intersection of two faces
Vertex
point where three or more edges intersect
Cross section
intersection of a solid and a plane, a very thin slice of the solid
Eulers formula for a net
F+V=E+1
Eulers formula for a 3D object
F+V=E+2
Prism
Polyhedron with two congruent, parallel faces, called bases, while the others are lateral faces. The name of the prism is based on the shape of the base
Altitude
perpendicular segment that joins the planes of the bases, the length is the height
Right Prism
lateral faces are rectangles and a lateral edge is a altitude
Oblique Prism
some or all of the lateral faces are non rectangular
Lateral area prism
The sum of the areas of lateral faces
Surface Area prism
sum of the lateral area and the area of the two bases
Cylinder
solid that has two congruent parallel bases and are circles
Right Cylinder
segment joining the centers of the bases is an altitude
Oblique Cylinder
Segment joining the centers is not perpendicular to the planes containing the bases
Lateral area cylinder
the rectangle that forms the side of the cylinder
Surface Area cylinder
sum of the lateral area and if the circular bases
Pyramid
polyhedron in which on face (base) can be any polygon and the other faces (lateral faces) are triangles that meet at a common point called the vertex
Regular pyramid`
pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles
Slant height
length of the altitude of a lateral face of a pyramid
Lateral Area pyramid
sum of the areas of the congruent lateral faces
Surface area pyramid
add the area of its base to its lateral area
Cone
solid that has one base and a vertex
Right cone
altitude is a perpendicular segment from the vertex to the center of the base
Slant height
distance from the vertex to a point on the edge of the base
Lateral are cone
half the circumference of the base times the slant height
Volume
space that a figure occupies, measured in cubic units
Composite space figure
three dimensional figure that is the combination of two or more simpler figures, add the volumes of the separate figures together
Sphere
set of all points in space equidistant from a given point called the center
Radius
Segment that has one endpoint at the center and the other endpoint on the plane
Diameter
segment passing through the center with endpoints on the sphere
Circumference
the circumference of a great circle
Great circle
when a plane and a sphere intersect in more then one point through the center of the sphere, divides a sphere into two hemispheres
Similar Solids
have the same shape, and all their corresponding dimensions are proportional
SA of a sphere
4πr^2
Volume of a Sphere
4/3πr^3
