Name: ____________________
Spatial Perception
This activity is designed to develop spatial perception by using different views to construct 3-D
models with cubes. Work in pairs.
The numbers on the mat give the number of layers at each point. Use the mat to construct the
building with cubes.
back
3
Part 1. Write the letter of the view that represents the following:
Front ___I___ Back __D___ Right __A___ Left __C___
left
3
1
2
1
front
A.
B.
C.
D.
E.
F.
G.
H.
I.
2
right
Part 2. Use your cubes to construct the 3-D figures represented by the following mats:
1.
2.
3.
back
back
1
2
back
1
left
1
2
front
1
1
right
1
left
2
4
1
3
2
front
left
right
3
2
3
3
1
2
1
front
Top view is shaped like the mat shown.
Draw the top, front, back, left, and right view for each on the graph paper below.
Front
Back
Left
Right
right
Part 3. For each of the following 3-D figures for which the top, front, and right sides are shown,
record the height of each section on the mat to the right. If there are two solutions, give both.
TOP
FRONT
RIGHT
MAT
1
1
or 2
1
2
2
4
2
1
1
1
1
2
1
1
or 2
3
4. When the net at right is folded into a cube, what faces are opposite each
other? What is the sum of each pair of opposite faces?
5 & 2, 1 & 6, 3 & 4
1
2
6
The sum of each pair is 7.
3
5. Write the missing digits on each net so that if you were to cut it out and fold it
into a cube, the sums of the opposite faces are the same as those in #4 above.
3
2/5
6
5/2
1
2/5
4/3
6
5
3/4
4
1
4
4
4
3
6
2/5
1
2
6
2
4/3
5
3/4
6
3
5/2
1
5/2
1
4
2
3
1/6
5
6/1
5