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Lesson 10.5, For use with pages 548-552

Write the area formulas for:
  • Square
  • Rectangle
  • Parallelogram
  • Triangle
  • Trapezoid
  • Circle
Review
When labeling any area, always use
_____ _. _______
Finding the area of all the faces of a
polyhedron is called _______ _______.

What is the definition of a polyhedron?
When labeling any area, always use
_____ ________.
units    squared
Finding the area of all the faces of a
polyhedron is called _______ _______.
                      surface    area


What is the definition of a polyhedron?
– is a solid that is enclosed by polygons. It has
  only flat surfaces.
GUIDED PRACTICE     for Examples 1, 2 and 3


Classify the solid. Then tell whether it is a polyhedron.
                                      2.
     1.
GUIDED PRACTICE     for Examples 1, 2 and 3


Classify the solid. Then tell whether it is a polyhedron.
                                      2.
     1.




                                           ANSWER
   ANSWER
 triangular pyramid;                        Cone; not a
 polyhedron.                                polyhedron.
GUIDED PRACTICE     for Examples 1, 2 and 3


Classify the solid. Then tell whether it is a polyhedron.

     3.                            4.
GUIDED PRACTICE     for Examples 1, 2 and 3


Classify the solid. Then tell whether it is a polyhedron.

     3.                            4.




   ANSWER                               ANSWER
  octagonal prism;                   sphere;
  polyhedron.                         not a polyhedron
EXAMPLE 2        Counting Faces, Edges, and Vertices


 Classify the solid. Then count the number of
 faces, edges, and vertices.
   SOLUTION

     The solid is a pentagonal pyramid.




                                                       Remember to
                                                       include the
                                                       base when
                                                       counting faces.
Daily Homework Quiz            For use after Lesson 10.4

   Identify the solid shown by the net.
 Then find its surface area. Use 3.14 for π.
    Round to the nearest tenth.
Daily Homework Quiz            For use after Lesson 10.4

   Identify the solid shown by the net.
 Then find its surface area. Use 3.14 for π.
    Round to the nearest tenth.




     ANSWER       cylinder; 29.8 m2
GUIDED PRACTICE        for Examples 1, 2, 3, and 4

                         Identify the solid shown by the net.
                        Then find its surface area.




  ANSWER


The area of each triangle is 1 6 m · 8 m = 24 m2
                               2
The area of the large rectangle is 10m · 14m = 140m2
The area of the small rectangle is 6 m · 14 m = 84 m2
The area of the middle rectangle is 8 m · 14 m = 112 m2
The total area is 2 · 24m2 + 140m2 + 84m2 + 112m2= 384 m2
Homework
Page 552 #35-37 AND page 570 #14-17

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Surface area review and quiz 1

  • 1. Lesson 10.5, For use with pages 548-552 Write the area formulas for: • Square • Rectangle • Parallelogram • Triangle • Trapezoid • Circle
  • 3. When labeling any area, always use _____ _. _______ Finding the area of all the faces of a polyhedron is called _______ _______. What is the definition of a polyhedron?
  • 4. When labeling any area, always use _____ ________. units squared Finding the area of all the faces of a polyhedron is called _______ _______. surface area What is the definition of a polyhedron? – is a solid that is enclosed by polygons. It has only flat surfaces.
  • 5. GUIDED PRACTICE for Examples 1, 2 and 3 Classify the solid. Then tell whether it is a polyhedron. 2. 1.
  • 6. GUIDED PRACTICE for Examples 1, 2 and 3 Classify the solid. Then tell whether it is a polyhedron. 2. 1. ANSWER ANSWER triangular pyramid; Cone; not a polyhedron. polyhedron.
  • 7. GUIDED PRACTICE for Examples 1, 2 and 3 Classify the solid. Then tell whether it is a polyhedron. 3. 4.
  • 8. GUIDED PRACTICE for Examples 1, 2 and 3 Classify the solid. Then tell whether it is a polyhedron. 3. 4. ANSWER ANSWER octagonal prism; sphere; polyhedron. not a polyhedron
  • 9. EXAMPLE 2 Counting Faces, Edges, and Vertices Classify the solid. Then count the number of faces, edges, and vertices. SOLUTION The solid is a pentagonal pyramid. Remember to include the base when counting faces.
  • 10. Daily Homework Quiz For use after Lesson 10.4 Identify the solid shown by the net. Then find its surface area. Use 3.14 for π. Round to the nearest tenth.
  • 11. Daily Homework Quiz For use after Lesson 10.4 Identify the solid shown by the net. Then find its surface area. Use 3.14 for π. Round to the nearest tenth. ANSWER cylinder; 29.8 m2
  • 12. GUIDED PRACTICE for Examples 1, 2, 3, and 4 Identify the solid shown by the net. Then find its surface area. ANSWER The area of each triangle is 1 6 m · 8 m = 24 m2 2 The area of the large rectangle is 10m · 14m = 140m2 The area of the small rectangle is 6 m · 14 m = 84 m2 The area of the middle rectangle is 8 m · 14 m = 112 m2 The total area is 2 · 24m2 + 140m2 + 84m2 + 112m2= 384 m2
  • 13. Homework Page 552 #35-37 AND page 570 #14-17