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

A

F+V=E+2

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
Q

Oblique Prism

A

some or all of the lateral faces are non rectangular

26
Q

Lateral area prism

A

The sum of the areas of lateral faces

27
Q

Surface Area prism

A

sum of the lateral area and the area of the two bases

28
Q

Cylinder

A

solid that has two congruent parallel bases and are circles

29
Q

Right Cylinder

A

segment joining the centers of the bases is an altitude

30
Q

Oblique Cylinder

A

Segment joining the centers is not perpendicular to the planes containing the bases

31
Q

Lateral area cylinder

A

the rectangle that forms the side of the cylinder

32
Q

Surface Area cylinder

A

sum of the lateral area and if the circular bases

33
Q

Pyramid

A

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
Q

Regular pyramid`

A

pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles

35
Q

Slant height

A

length of the altitude of a lateral face of a pyramid

36
Q

Lateral Area pyramid

A

sum of the areas of the congruent lateral faces

37
Q

Surface area pyramid

A

add the area of its base to its lateral area

38
Q

Cone

A

solid that has one base and a vertex

39
Q

Right cone

A

altitude is a perpendicular segment from the vertex to the center of the base

40
Q

Slant height

A

distance from the vertex to a point on the edge of the base

41
Q

Lateral are cone

A

half the circumference of the base times the slant height

42
Q

Volume

A

space that a figure occupies, measured in cubic units

43
Q

Composite space figure

A

three dimensional figure that is the combination of two or more simpler figures, add the volumes of the separate figures together

44
Q

Sphere

A

set of all points in space equidistant from a given point called the center

45
Q

Radius

A

Segment that has one endpoint at the center and the other endpoint on the plane

46
Q

Diameter

A

segment passing through the center with endpoints on the sphere

47
Q

Circumference

A

the circumference of a great circle

48
Q

Great circle

A

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
Q

Similar Solids

A

have the same shape, and all their corresponding dimensions are proportional

50
Q

SA of a sphere

A

4πr^2

51
Q

Volume of a Sphere

A

4/3πr^3