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