You will need
10.4 Top, Front, and Side
Views of 3-D Objects
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a building mat
triangle dot paper
large grid paper
scissors
tape
coloured pencils
GOAL
Recognize and sketch the top, front, and side views of 3-D objects.
Learn about the Math
You can use the skills you learned for drawing top, front, and side views of
cube structures to help you draw top, front, and side views of 3-D objects.
can you sketch views
? How
of 3-D objects?
A. Create a net to make a model of a
triangular chocolate bar package.
Construct the model.
B. Place your model on your
front
building mat. Look directly down
on the model to see the top view. Draw the top
view. Show any changes in depth with a thick black line.
Label your drawing to show that it is the top view.
C. Bring your eyes level with the front of the model so that
you are looking directly at the front view. Draw the front
view. Label your drawing to show that it is the front view.
D. Repeat step C for the back view, the right-side view, and
the left-side view.
E. Are the front and back views the same? Are the left-side
and right-side views the same?
Reflecting
1. a) Could a different face of your model have been the
front view? Explain.
b) Could a face of your model have been the top view? Explain.
2. How could your views be different if you positioned your prism
differently on the mat?
3. Why is it important to keep the object you are viewing in the same
position on the building mat to draw different views?
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Work with the Math
Example 1: Drawing views of an object
Draw top, front, left-side, and back views of a step stool shaped like stairs.
Romona’s Solution
When I drew views of cube structures, I used a building mat
to keep the structure in one position. Here I’ll keep the stairs
in the same position while I draw the top, front, and side views.
I looked straight down at the top of the stairs. I noticed the
change in depth at the lower step. I drew the shape of the steps
and showed the change in depth by drawing a thick black line.
Next I moved to the front and brought my eyes level with the
stairs. I noticed the two rectangular surfaces and a change in
depth. I drew the shape of the surfaces. I showed the change in
depth by drawing a thick black line.
I moved to the left side and brought my eyes level with the stairs.
I noticed only one surface, with no changes in depth. I drew the
shape.
Finally I drew the back view.
Example 2: Drawing views of a polyhedron
Draw top, front, and left-side views of this polyhedron.
Fawn’s Solution
I needed to keep the
polyhedron in the same
position on my building
mat to draw the views.
NEL
I looked straight
down at the top of
the polyhedron and
sketched the view.
I moved to look
directly at the front
of the polyhedron. I
drew the front view.
I moved to look
directly at the left side
of the polyhedron. I
drew this side view.
3-D Geometry
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Checking
9. a) Identify the polyhedron
that has this top view.
4. Identify the polyhedron that has these views.
b) Draw the front and left-side views.
5. Draw the top, front, right-side, and left-side
views of this object.
10. a) Identify two polyhedrons
that have this side view.
b) Sketch the top view of each
polyhedron you named in
part (a).
side
11. a) Visualize folding this net into a 3-D
shape. Draw and colour the top view
and the front view.
Practising
6. Identify the polyhedron that has these views.
b) Explain how you decided which view
would be the top view.
12. Draw the top, front, and left-side views
of this box.
7. Identify the polyhedron that has these views.
8. Identify the polyhedron that has these views.
13. Draw the top, front, and right-side views
of this box.
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14. a) Draw the top, front, and left-side views
of this block structure.
b) What polyhedrons
make up the block
structure?
15. Draw the top view of this Mayan temple.
Extending
17. Sketch a different view of each object.
a)
b)
c)
d)
16. a) Decide which view of this mailbox will
be the front view. Draw the top, front,
and left-side views.
b) Identify as many polyhedrons as you
can that have the same three views.
18. Find an object that has different views.
Draw the top, front, left-side, and right-side
views.
19. Describe a situation in everyday life when
you would use top, front, and side views.
Explain how these views would be useful.
20. Sketch the top view, front view, and a side
view of each object.
a) a can
b) a pylon
c) a computer mouse
NEL
3-D Geometry
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