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

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

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

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

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

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

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

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

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

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

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

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 1/4 Example 4-1a

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 1/4 Example 4-1a

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 1/4 Example 4-1a

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 1/4 Example 4-1a

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 1/4 Example 4-1a

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 1/4 Example 4-1b

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 2/4 Example 4-2a

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 2/4 Example 4-2a

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 2/4 Example 4-2a

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 2/4 Example 4-2a

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 2/4 Example 4-2b

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

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

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

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 4/4 Example 4-4a

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 4/4 Example 4-4a

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 4/4 Example 4-4a

* 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 4/4 Example 4-4c

Three-Dimensional Figures Assignment Lesson 7:4 Three-Dimensional Figures 3 - 12 All End of Lesson 4

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 3/4 Example 4-3a

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 3/4 Example 4-3a

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 3/4 Example 4-3a

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

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. 4/4 Example 4-4a

Simplify. Answer: The area of the floor covered by the fireplace is 67.5 square feet. 4/4 Example 4-4b