1. Five-Minute Check (over Lesson 1–8) Mathematical Practices Then/Now
New Vocabulary
Example 1: Use Orthographic Drawings
Example 2: Use Nets to Identify Solids
Example 3: Draw Nets of Solids
Lesson Menu

2. B. yes; pentagonal pyramid C. no; hexagonal prism
Determine whether the solid is a polyhedron. Then identify the solid.
yes; pentagonal prism
B. yes; pentagonal pyramid
C. no; hexagonal prism
D. no; pentagonal prism
5-Minute Check 1

3. A. yes; cone B. yes; cylinder C. no; cone D. no; circular prism
Determine whether the solid is a polyhedron. Then identify the solid.
A. yes; cone
B. yes; cylinder
C. no; cone
D. no; circular prism
5-Minute Check 2

4. Find the surface area of the cylinder to the nearest tenth.
122.5 cm2
B cm2
C cm2
D cm2
5-Minute Check 3

5. Find the volume of the triangular prism.
B in3
C in3
D in3
5-Minute Check 4

6. A cube has a surface area of 96 square inches
A cube has a surface area of 96 square inches. What is the volume of the cube?
36 in3
B. 64 in3
C. 96 in3
D in3
5-Minute Check 5

7. Mathematical Practices 4 Model with mathematics. Content Standards
G.MG.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). MP

8. You named and drew different three-dimensional figures.
You will represent the three-dimensional figures as two-dimensional figures with orthographic drawings and nets.
Then/Now

9. orthographic drawing
net
New Vocabulary

10. Make a model of a figure from the orthographic drawing shown.
Use Orthographic Drawings
Make a model of a figure from the orthographic
drawing shown.
Example 1

11. Step 1 Start with a base that matches the top view.
Use Orthographic Drawings
Step Start with a base that matches the top view.
Step 2 The front view indicates that the front left side is 3 blocks high and that the right side is 1 block high. However, the dark segments indicate breaks in the surface.
Example 1

12. Use Orthographic Drawings
Step 3 The break on the left side of the front view indicates that the back left column is 2 blocks high, the third column is three bocks high, and the second column is 1 block high, but that the front left column is only 2 blocks high.
Step The break on the right side of the front view indicates that the back right column is 2 blocks high, but that the front right column is also 2 blocks high, the second column is 1 block high and the third column is 3 blocks high.
Example 1

13. Use Orthographic Drawings
Step 5 Use the left and right views and the breaks in those views to confirm that you have made the correct figure.
Answer:
Example 1

14. Use Nets to Identify Solids
Make a model of a figure for the given net. Then identify the solid formed.
Use a large sheet of paper, a ruler, scissors, and tape. Draw the net on the paper. Cut along the solid lines. Fold the pattern on the dashed lines and secure the edges with tape. This is the net of a square pyramid.
Example 2

15. Answer: square pyramid
Use Nets to Identify Solids
Answer: square pyramid
Example 2

16. Draw a net for the solid. Then label its dimensions.
Draw Nets of Solids
Draw a net for the solid. Then label its dimensions.
To draw the net of a three-dimensional solid, visualize cutting the solid along one or more of its edges, opening up the solid, and flattening it completely.
Example 3

17. Draw Nets of Solids
Answer:
Example 3