Holt Geometry 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.
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Holt Geometry
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
bases: ABCD, EFGH, ABFE, DCGH, ADHE, BCGF
edges:
Holt Geometry
10-1 Solid Geometry
Classify the figure. Name the vertices, edges, and bases.
pentagonal pyramid
vertices: A, B, C, D, E, F
base: ABCDE
edges:
Holt Geometry
10-1 Solid Geometry
Classify the figure. Name the vertices, edges, and bases.
vertex: N
cone
edges: none
base: •M
M
Holt Geometry
10-1 Solid Geometry
Classify the figure. Name the vertices, edges, and bases.
triangular prism
bases: ∆TUV, ∆WXY
vertices: T, U, V, W, X, Y
edges:
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.
cylinder
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.
a hexagon
a triangle
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
Cut parallel to the bases.
Cut perpendicular to the bases.
a rectangle
Holt Geometry
10-2Representations of 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
10-2Representations of Three-Dimensional Figures
Draw all six orthographic views of the given object. Assume there are no hidden cubes.
Bottom
Holt Geometry
10-2Representations of Three-Dimensional Figures
Holt Geometry
10-2Representations of Three-Dimensional Figures
Draw all six orthographic views of the given object. Assume there are no hidden cubes.
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