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Transparency 4

2. Splash Screen

3. Identify and draw three-dimensional figures
Objective
Identify and draw three-dimensional figures
Example 4-4c

4. A two-dimensional flat surface that extends in all directions
Vocabulary
Plane
A two-dimensional flat surface that extends in all directions
Example 4-4c

5. A three-dimensional figure formed by intersecting planes
Vocabulary
Solid
A three-dimensional figure formed by intersecting planes
Example 4-4c

6. A solid with flat surfaces that are polygons
Vocabulary
Polyhedron
A solid with flat surfaces that are polygons
Example 4-4c

7. The intersection of two faces of a three-dimensional figure
Vocabulary
Edge
The intersection of two faces of a three-dimensional figure
Example 4-4c

8. Any surface that forms a side or a base of a prism
Vocabulary
Face
Any surface that forms a side or a base of a prism
Example 4-4c

9. The point where three or more planes intersect
Vocabulary
Vertex
The point where three or more planes intersect
Example 4-4c

10. A polyhedron with two parallel, congruent faces called bases
Vocabulary
Prism
A polyhedron with two parallel, congruent faces called bases
Example 4-4c

11. Any side of a parallelogram
Vocabulary
Base
Any side of a parallelogram
Example 4-4c

12. Vocabulary
Pyramid
A polyhedron with one base that is a polygon and faces that are triangles
Example 4-4c

13. Example 1 Identify Prisms and Pyramids
Example 3 Analyze Real-Life Drawings
Example 4 Analyze Real-Life Drawings
Lesson 4 Contents

14. Identify the solid. Name the number and shapes of the faces
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Identify solid: The figure has two parallel congruent bases that are 8 sided
Octagonal prism
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Example 4-1a

15. Name the number & shapes of faces:
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Top &
Bottom
Name the number & shapes of faces:
8 rectangles faces
2 octagon faces
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Example 4-1a

16. Name the number of edges:
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Count edges on top
8 edges on top
Count edges on bottom
8 edges on bottom
Count edges on side
8 edges on side
Name the number of edges:
24 edges
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Example 4-1a

17. Count vertices on bottom
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Count vertices on top
8 vertices on top
Count vertices on bottom
8 vertices on bottom
Name the number of vertices:
16 vertices
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Example 4-1a

18. Answer: Octagonal Prism 2 octagon faces and 8 rectangle faces,
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Answer: Octagonal Prism
2 octagon faces and 8 rectangle faces,
24 edges,
16 vertices
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Example 4-1a

19. Answer: triangular prism; 2 triangular faces, 3 rectangular faces,
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Answer: triangular prism;
2 triangular faces, 3 rectangular faces,
9 edges,
6 vertices
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Example 4-1b

20. The figure has one base that is a rectangle,
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Identify solid:
The figure has one base that is a rectangle,
Rectangular Pyramid
Name the number & shapes of faces:
The figure has 1 face that is a rectangle
4 faces that are triangles
2 Sides
Front & Back
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Example 4-2a

21. Name the number of edges:
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Name the number of edges:
4 edges from top point to base
4 edges around base
8 edges
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Example 4-2a

22. Name the number of vertices:
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Name the number of vertices:
1 vertices on top
4 vertices on bottom
5 vertices
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Example 4-2a

23. Answer: rectangular pyramid 1 rectangular face, and 4 triangular faces
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Answer: rectangular pyramid
1 rectangular face, and 4 triangular faces
8 edges,
5 vertices
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Example 4-2a

24. Answer: pentagonal pyramid; 1 pentagon face & 5 triangular faces,
Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices.
Answer: pentagonal pyramid;
1 pentagon face & 5 triangular faces,
10 edges,
6 vertices
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Example 4-2b

25. Draw and label the front, top, and side views
Note: Top is looking straight down on the figure
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Example 4-4a

26. Draw and label the front, top, and side views
Answer:
Front:
Top:
Side:
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Example 4-4a

27. Draw and label the top, front, and side views.
Answer:
3/4
Example 4-3b

28. Each unit on the drawing represents 2 feet. Find the area of the floor
A = L  W
Determine the shape of the floor
The floor is a rectangle!
Write the formula for area of a rectangle
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Example 4-4a

29. Each unit on the drawing represents 2 feet. Find the area of the floor
A = L  W
A = 3
 1
Count the units of the length
Replace L with 3
Count the units of the length
Replace W with 1
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Example 4-4a

30. Each unit on the drawing represents 2 feet. Find the area of the floor
A = L  W
A = 3
 1
A = 3
Multiply
A = 3  2
Each unit represents 2 feet
Answer:
Multiply area times 2 feet
A = 6
feet2
Add dimensional analysis
Area is 2-dimensional
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Example 4-4a

31. *
ARCHITECTURE The plans for a building are shown at the right. Each unit on the drawing represents 50 feet. Find the area covered by the first floor.
Answer: 500 feet2
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Example 4-4c

32. Three-Dimensional Figures
Assignment
Lesson 7:4
Three-Dimensional Figures
All
End of Lesson 4

33. 1st draw figure on dot matrix paper
ARCHITECTURE The plans for a hotel fireplace are shown below. Draw and label the top, front, and side views.
1st draw figure on dot matrix paper
Top view:
5 units wide
6 units long
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Example 4-3a

34. 3 units high with a gap in lower middle
ARCHITECTURE The plans for a hotel fireplace are shown below. Draw and label the top, front, and side views.
Front view:
6 units wide
3 units high with a gap in lower middle
2 by 3 unit on top
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Example 4-3a

35. 3 units high with a gap in lower middle
ARCHITECTURE The plans for a hotel fireplace are shown below. Draw and label the top, front, and side views.
Side view:
5 units wide
3 units high with a gap in lower middle
1 by 3 unit on top
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Example 4-3a

36. ARCHITECTURE The plans for a hotel fireplace are shown below
ARCHITECTURE The plans for a hotel fireplace are shown below. Draw and label the top, front, and side views.
Answer:
3/4
Example 4-3a

37. ARCHITECTURE The plans for a hotel fireplace are shown to the right
ARCHITECTURE The plans for a hotel fireplace are shown to the right. Each unit on the drawing represents 1.5 feet. Find the area of the floor covered by the fireplace.
You can see from the front view that the floor is a rectangle that is 5 units wide by 6 units long.
The actual dimensions are 5(1.5) feet by 6(1.5) feet or 7.5 feet by 9 feet.
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Example 4-4a

38. Simplify.
Answer: The area of the floor covered by the fireplace is square feet.
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Example 4-4b