Solid Geometry Flashcards
What is traditional name for the geometry of three dimensional Euclidean space
Solid Geometry
Deals with the measurements of volumes of various solid figures, including pyramids, prisms, and other polyhedron
Stereometry
Solids whose faces are polygons
Polyhedrons
Polyhedrons that has identical faces
Regular Polyhedron
Give the five known regular polyhedrons
Tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron.
What is the other name for regular polyhedron?
Platonic solids
Properties of Tetrahedron
F= 4
E= 6
V= 4
M= 3
Tetrahedron Surface Area
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
As= A^2sqrt3
Tetrahedron Volume
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Hexahedron Surface Area
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Hexahedron Volume
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Octahedron Surface Area
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Octahedron Volume
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Theorem for all convex polyhedra
Euler’s Polyhedron
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Polyhedron: Number of Edges Formula
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Polyhedron: Number of Vertices Formula
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Polyhedron: Radius of inscribed sphere formula
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Volume of Prisms
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Right Prism Volume
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Right Prism Lateral Area
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Oblique Prism Volume
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Oblique Prism Lateral Area
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)
Lateral Area Definition
Total area of faces excluding the base
Surface Area Formula
As=Lateral Area + Base Area
Cube or Hexahedron Space diagonal
V=a^3
Rectangular Parallelepiped Space Diagonal
V= a.b.c
When do two solids become similar?
If any to corresponding sides or planes are proportional
Similar Solids Formula
[Formula] (https://drive.google.com/file/d/1tvL8TcvYjHDZLm0HFa1Jt-OnE_MuHvmt/view?usp=sharing)