Chapter 11 Vocab Flashcards

1
Q

Rectangular prism formula SA

A

SA=LA+2B: LA=ph

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2
Q

Triangular prism formula SA

A

SA=LA+2B: LA=ph

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3
Q

Cylinder formula SA

A

SA=2πrh+πr^2: LA=2πrh

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4
Q

Cone SA

A

SA=πrl+πr^2: LA=πrl

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5
Q

Square pyramid SA

A

SA=LA+s^2: LA=1/2pl

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6
Q

Triangular Pyramid SA

A

SA=LA+B; LA=1/2pl

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7
Q

Regular polygon pyramid SA

A

SA=1/2pl+1/2Pa; LA=1/2pl

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8
Q

Volume of a Rectangular prism

A

V=Bh

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9
Q

Volume of a Triangular prism

A

V=(1/2bh)h

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10
Q

Volume of a cylinder

A

V=πr^2h

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11
Q

Volume of a cone

A

V=1/3Bh

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12
Q

Volume of a square pyramid

A

V=1/3Bh

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13
Q

Volume of a Triangular pyramid

A

V=1/3Bh

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14
Q

Volume of a regular polygon

A

1/6Pah

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15
Q

Polyhedron

A

space figure or three dimensional figure whose surfaces are polygons

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16
Q

Face

A

each polygon of the polyhedron

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17
Q

Edge

A

segment that is formed by the intersection of two faces

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18
Q

Vertex

A

point where three or more edges intersect

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19
Q

Cross section

A

intersection of a solid and a plane, a very thin slice of the solid

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20
Q

Eulers formula for a net

A

F+V=E+1

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21
Q

Eulers formula for a 3D object

22
Q

Prism

A

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

23
Q

Altitude

A

perpendicular segment that joins the planes of the bases, the length is the height

24
Q

Right Prism

A

lateral faces are rectangles and a lateral edge is a altitude

25
Oblique Prism
some or all of the lateral faces are non rectangular
26
Lateral area prism
The sum of the areas of lateral faces
27
Surface Area prism
sum of the lateral area and the area of the two bases
28
Cylinder
solid that has two congruent parallel bases and are circles
29
Right Cylinder
segment joining the centers of the bases is an altitude
30
Oblique Cylinder
Segment joining the centers is not perpendicular to the planes containing the bases
31
Lateral area cylinder
the rectangle that forms the side of the cylinder
32
Surface Area cylinder
sum of the lateral area and if the circular bases
33
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
34
Regular pyramid`
pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles
35
Slant height
length of the altitude of a lateral face of a pyramid
36
Lateral Area pyramid
sum of the areas of the congruent lateral faces
37
Surface area pyramid
add the area of its base to its lateral area
38
Cone
solid that has one base and a vertex
39
Right cone
altitude is a perpendicular segment from the vertex to the center of the base
40
Slant height
distance from the vertex to a point on the edge of the base
41
Lateral are cone
half the circumference of the base times the slant height
42
Volume
space that a figure occupies, measured in cubic units
43
Composite space figure
three dimensional figure that is the combination of two or more simpler figures, add the volumes of the separate figures together
44
Sphere
set of all points in space equidistant from a given point called the center
45
Radius
Segment that has one endpoint at the center and the other endpoint on the plane
46
Diameter
segment passing through the center with endpoints on the sphere
47
Circumference
the circumference of a great circle
48
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
49
Similar Solids
have the same shape, and all their corresponding dimensions are proportional
50
SA of a sphere
4πr^2
51
Volume of a Sphere
4/3πr^3