Chapter 9 Flashcards

1
Q

solids or solid figures

A

three dimensional shapes

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2
Q

polyhedron

A

a solid formed by polygons

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3
Q

faces

A

the plane surfaces

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4
Q

edges

A

the segments joining the vertices

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5
Q

Types of solids

A

Rectangular Prism, Triangular Prism, Cube (Square prism)

Rectangular pyramid, triangular pyramid, pentagonal pyramid

Cylinder, Cone, Sphere

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6
Q

Prism

A

a polyhedron with two congruent faces that lie in parallel planes

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7
Q

surface area

A

the sum of the areas of polyhedron’s faces

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8
Q

Lateral faces

A

faces of the prism that are not bases

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9
Q

Lateral area

A

the sum of the areas of the lateral faces

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10
Q

Surface area of a prism

A

Surface area = 2(area of base) + (perimeter of base)(height)

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11
Q

cylinder

A

a solid with two congruent circular bases that lie in parallel planes
The lateral area of a cylinder is the area of the curved surface

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12
Q

Surface area of a cylinder

A

Surface area = 2(area of bases) + (circumference of base)(height)

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13
Q

pyramid

A

a polygon and the lateral faces are triangles with a common vertex

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14
Q

height of a pyramid

A

the perpendicular distance between the vertex and base

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15
Q

slant height of a pyramid

A

the height of any of its lateral faces

(slant height)^2 = (height)^2 + (1/2 side)^2

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16
Q

Surface area of a pyramid

A

Surface area = (area of base) + 1/2(perimeter of base)(slant height)

17
Q

cone

A

the solid has a circular base and a vertex that is not in the same plane as the base

18
Q

height of a cone

A

the perpendicular distance between the vertex and the base

19
Q

slant height of a cone

A

the distance between the vertex and a point on the base edge

20
Q

Surface area of a cone

A

Surface area = (area of base) + (area of sector)

= (area of base) + 3.14(radius of base)(slant height)

21
Q

volume

A

of cubit units contained in its interior

22
Q

volume of a prism

A

Volume = (area of base)(height)

23
Q

volume of a cylinder

A

Volume = (area of base)(height)

= 3.14(radius)^2 of height

24
Q

Volume of a pyramid

A

Volume = 1/3(area of base)(height)

25
Q

Volume of a cone

A

Volume = 1/3(area of base)(height)

26
Q

sphere

A

the set of all points in space that are the same distance from a point, the center of the sphere.

27
Q

hemispheres

A

a geometric plane passing through the center of a sphere divides it into two hemispheres

28
Q

Surface area of a sphere

A

Surface area = 4(3.14)(radius)^2

29
Q

Volume of a sphere

A

Volume = 4/3(3.14)(radius)^3