holt ca course 1 10-1 three-dimensional figures preparation for mg2.1 use formulas routinely for...
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Holt CA Course 1
10-1 Three-Dimensional Figures
Preparation for MG2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders.
California Standards
Holt CA Course 1
10-1 Three-Dimensional Figures
Three-dimensional figures have three-dimensions: length, width, and height. A flat surface of a three-dimensional figure is a face. An edge is where two faces meet.
A polyhedron is a three-dimensional figure whose faces are all polygons. A vertex of a polyhedron is a point where three or more edges meet. The face that is used to name a polyhedron is called a base.
Holt CA Course 1
10-1 Three-Dimensional Figures
Holt CA Course 1
10-1 Three-Dimensional Figures
Additional Example 1: Naming Prisms and Pyramids
There is one base, and it is a pentagon.
There are five triangular faces.
The figure is a pentagonal pyramid.
Identify the bases and faces of the figure. Then name the figure.
A.
Holt CA Course 1
10-1 Three-Dimensional Figures
Additional Example 1: Naming Prisms and Pyramids
There is one base, and it is a triangle.
There are three triangular faces.
The figure is a triangular pyramid.
Describe the bases and faces of the figure. Then name the figure.
B.
Holt CA Course 1
10-1 Three-Dimensional Figures
Additional Example 1: Naming Prisms and Pyramids
There are two bases, and they are both hexagons.
There are six rectangular faces.
The figure is a hexagonal prism.
Describe the bases and faces of the figure. Then name the figure.
C.
Holt CA Course 1
10-1 Three-Dimensional Figures
Check It Out! Example 1
There are two bases and they are both triangles.
There are three rectangular faces.
The figure is a triangular prism.
Describe the bases and faces of the figure. Then name the figure.
A.
Holt CA Course 1
10-1 Three-Dimensional Figures
Check It Out! Example 1
There are two rectangular bases.
The figure is a rectangular prism.
Describe the bases and faces of the figure. Then name the figure.
B.
There are four other rectangular faces.
Holt CA Course 1
10-1 Three-Dimensional Figures
Describe the bases and faces of the figure. Then name the figure.
C.
Check It Out! Example 1
There are two octagonal bases.
The figure is an octagonal prism.
There are eight rectangular faces.
Holt CA Course 1
10-1 Three-Dimensional Figures
Other three-dimensional figures include cylinders and cones. These figures are not polyhedrons because they are not made of faces that are all polygons.
Holt CA Course 1
10-1 Three-Dimensional Figures
Classify each figure as a polyhedron or not a polyhedron. Then name the figure.
A.
Additional Example 2: Classifying Three-Dimensional Figures
The faces are all polygons, so the figure is a polyhedron.There is one rectangular base for each figure.
The figure is made up of a rectangular pyramid and a rectangular prism.
Holt CA Course 1
10-1 Three-Dimensional Figures
There is one circular base.
Classify each figure as a polyhedron or not a polyhedron. Then name the figure.
B.
Additional Example 2: Classifying Three-Dimensional Figures
The faces are not all polygons, so the figure is not a polyhedron.
The figure is a cone.
Holt CA Course 1
10-1 Three-Dimensional Figures
There are two circular bases.
Classify each figure as a polyhedron or not a polyhedron. Then name the figure.
C.
Additional Example 2: Classifying Three-Dimensional Figures
The faces are not all polygons, so the figure is not a polyhedron.
The figure is a cylinder.
Holt CA Course 1
10-1 Three-Dimensional Figures
Check It Out! Example 2
Classify each figure as a polyhedron or not a polyhedron. Then name the figure.
A.
There is one circular base for the top figure and two circular bases for the bottom figure.
The faces are not all polygons, so the figure is not a polyhedron.
The figure is made up of a cylinder and a cone.
Holt CA Course 1
10-1 Three-Dimensional Figures
Check It Out! Example 2
Classify each figure as a polyhedron or not a polyhedron. Then name the figure.
B.
There are two triangular bases for the figure.
The faces are all polygons, so the figure is a polyhedron.
The figure is a triangular prism.
Holt CA Course 1
10-1 Three-Dimensional Figures
Check It Out! Example 2
Classify each figure as a polyhedron or not a polyhedron. Then name the figure.
C.
There is one square base for the figure.
The faces are all polygons, so the figure is a polyhedron.
The figure is a square pyramid.