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.