10-1 Solid Geometry
Three-dimensional figures, or solids, can be made up of flat or curved surfaces. Each flat surface is called a face . An edge is the segment that is the intersection of two faces. A vertex is the point that is the intersection of three or more faces.
Holt Geometry 10-1 Solid Geometry
Holt Geometry 10-1 Solid Geometry
A cube is a prism with six square faces. Other prisms and pyramids are named for the shape of their bases.
Holt Geometry 10-1 Solid Geometry
Classify the figure. Name the vertices, edges, and bases.
cube vertices: A, B, C, D, E, F, G, H
edges:
bases: ABCD , EFGH , ABFE , DCGH , ADHE , BCGF
Holt Geometry 10-1 Solid Geometry
Classify the figure. Name the vertices, edges, and bases.
pentagonal pyramid
vertices: A, B, C, D, E, F
edges:
base: ABCDE
Holt Geometry 10-1 Solid Geometry
Classify the figure. Name the vertices, edges, and bases.
M vertex: N edges: none base: • M
Holt Geometry 10-1 Solid Geometry
Classify the figure. Name the vertices, edges, and bases.
triangular prism
vertices: T, U, V, W, X, Y
edges:
bases: ∆TUV , ∆WXY
Holt Geometry 10-1 Solid Geometry A net is a diagram of the surfaces of a 3-D figure that can be folded to form the 3-D figure. To identify a 3-D figure from a net, look at the number of faces and the shape of each face.
Describe the 3-D figure that can be made from the given net.
cube
Holt Geometry 10-1 Solid Geometry
Describe the 3-D figure that can be made from the given net.
cone triangular pyramid
Holt Geometry 10-1 Solid Geometry
Describe the 3-D figure that can be made from the given net.
Holt Geometry 10-1 Solid Geometry A cross section is the intersection of a three-dimensional figure and a plane.
Describe the cross section.
a point a pentagon
Holt Geometry 10-1 Solid Geometry
Describe the cross section.
Holt Geometry 10-1 Solid Geometry
A piece of cheese is a prism with equilateral triangular bases. How can you slice the cheese to make each shape?
an equilateral triangle a rectangle
Cut parallel to Cut perpendicular the bases. to the bases.
Holt Geometry Representations of 10-2 Three-Dimensional Figures
There are many ways to represent a three dimensional object. An orthographic drawing shows six different views of an object: top, bottom, front, back, left side, and right side.
Holt Geometry Representations of 10-2 Three-Dimensional Figures
Draw all six orthographic views of the given object. Assume there are no hidden cubes.
Bottom
Holt Geometry Representations of 10-2 Three-Dimensional Figures
Holt Geometry Representations of 10-2 Three-Dimensional Figures Draw all six orthographic views of the given object. Assume there are no hidden cubes.
Holt Geometry