Solid Geometry Flashcards

1
Q

What is traditional name for the geometry of three dimensional Euclidean space

A

Solid Geometry

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2
Q

Deals with the measurements of volumes of various solid figures, including pyramids, prisms, and other polyhedron

A

Stereometry

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3
Q

Solids whose faces are polygons

A

Polyhedrons

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4
Q

Polyhedrons that has identical faces

A

Regular Polyhedron

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5
Q

Give the five known regular polyhedrons

A

Tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron.

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6
Q

What is the other name for regular polyhedron?

A

Platonic solids

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7
Q

Properties of Tetrahedron

A

F= 4
E= 6
V= 4
M= 3

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8
Q

Tetrahedron Surface Area

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

As= A^2sqrt3

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9
Q

Tetrahedron Volume

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

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10
Q

Hexahedron Surface Area

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

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11
Q

Hexahedron Volume

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

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12
Q

Octahedron Surface Area

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

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13
Q

Octahedron Volume

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

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14
Q

Theorem for all convex polyhedra

A

Euler’s Polyhedron

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

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15
Q

Polyhedron: Number of Edges Formula

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

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16
Q

Polyhedron: Number of Vertices Formula

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

17
Q

Polyhedron: Radius of inscribed sphere formula

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

18
Q

Volume of Prisms

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

19
Q

Right Prism Volume

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

20
Q

Right Prism Lateral Area

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

21
Q

Oblique Prism Volume

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

22
Q

Oblique Prism Lateral Area

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

23
Q

Lateral Area Definition

A

Total area of faces excluding the base

24
Q

Surface Area Formula

A

As=Lateral Area + Base Area

25
Q

Cube or Hexahedron Space diagonal

A

V=a^3

26
Q

Rectangular Parallelepiped Space Diagonal

A

V= a.b.c

27
Q

When do two solids become similar?

A

If any to corresponding sides or planes are proportional

28
Q

Similar Solids Formula

A

[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)

29
Q
A