This document provides examples for how to draw top, side, and front views of 3D objects, as well as how to draw a corner view given those other views. It includes 5 examples of drawing the views of different 3D shapes and using those views to draw a corner view. It explains that understanding these views helps describe real-world 3D objects. Finally, it suggests that knowing how to draw 3D figures helps in finding their volumes.

1. Course 2, Lesson 7-5
Find the length of each object on a scale drawing with the given scale.
Then find the scale factor.
1. a subway car 34 feet long; 1 inch = 5 feet
2. a table 1.5 meters long; 3 centimeters = 0.25 meters
3. The distance between New York City and Washington, D.C., is
3.75 inches on a map of the United States. The scale on the map
is 1 inch to 90 miles. How far is Washington, D.C., from New York
City?
4. The actual distance from Atlanta to New Hope is 425 miles. A
map shows a distance of inches. Write a ratio to accurately
show the relationship between the actual distance and the scale
distance?
2
6
3

2. Course 2, Lesson 7-5
ANSWERS
1. in.;
2. 18 cm;
3. 337.5 mi
4.
4
6
5
1
60
3
25
3
63 :1
4

3. Geometry
Course 2, Lesson 7-5
HOW does geometry help us
describe real-world objects?

4. Course 2, Lesson 7-5 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Geometry
• Preparation for 7.G.3
Describe the two-dimensional figures that result from slicing three-
dimensional figures, as in plane sections of right rectangular prisms
and right rectangular pyramids.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.

5. • To draw the top, side, and front views
of a three-dimensional figure
• To draw the corner view of a three-
dimensional figure given the figure’s
top, side, and front views
Course 2, Lesson 7-5
Geometry

6. 1
Need Another Example?
2
Step-by-Step Example
1. Draw a top, a side, and a
front view of the figure at
the right.
The top view is a triangle.
The side and front view are rectangles.

7. Answer
Need Another Example?
Draw a top, a side, and a front view of the
figure below.

8. 1
Need Another Example?
2
Step-by-Step Example
2. Draw a top, a side, and a
front view of the figure at
the right.
The top view is a circle.
The side and front view are triangles.

9. Answer
Need Another Example?
Draw a top, a side, and a front view of the
figure below.

10. 1
Need Another Example?
2
Step-by-Step Example
3. Draw a top, a side, and a front view of the video
console shown.
The top view is a rectangle.
The side and front views are also rectangles.

11. Answer
Need Another Example?
Draw a top, a side, and a front view of the soup
can shown.

12. 1
Need Another Example?
2
3
Step-by-Step Example
4. Draw a corner view of the three-
dimensional figure whose top, side,
and front views are shown.
Use the top view to draw the
base of the figure, a 1-by-3
rectangle.
Use the side and front views
to complete the figure.
Add edges to make the
base a solid figure.
top
front side

13. Answer
Need Another Example?
Draw a corner view of the three-dimensional figure
whose top, side, and front views are shown.

14. 1
Need Another Example?
2
3
Step-by-Step Example
5. Draw a corner view of the three-dimensional figure
whose top view, side view, and front view are shown.
Use the top view to draw
the base of the figure,
a 2-by-4 rectangle.
Use the side and front views to complete
the figure.
Add edges to make the base a solid figure.
top
front side

15. Answer
Need Another Example?
Draw a corner view of the three-dimensional figure
whose top, side, and front views are shown.

16. How did what you learned
today help you answer the
Course 2, Lesson 7-5
Geometry
HOW does geometry help us
describe real-world objects?

17. How did what you learned
today help you answer the
Course 2, Lesson 7-5
Geometry
HOW does geometry help us
describe real-world objects?
Sample answers:
• To draw top, side, front, and corner views of a three-
dimensional real-world object
• To draw a corner view of a three-dimensional real-world
object given the object’s top, side, and front views

18. Explain how knowing
how to draw
three-dimensional
figures helps in finding
the volume of
three-dimensional figures.
Course 2, Lesson 7-5
Ratios and Proportional RelationshipsFunctionsGeometry