Scale Drawing Worksheet

Scale Drawing Worksheet
  • Page 1
 1.  
The scale of the picture is 1 2 in. : 3 cm. Find the actual length of the flask.


a.
24 cm
b.
12 cm
c.
18 cm
d.
36 cm


Solution:

Let n be the actual length of the flask.

123 = 4n
[Write the proportion.]

n × 12 = 4 × 3
[Write the cross products.]

n = 24
[Simplify.]

The actual length of the flask is 24 cm.


Correct answer : (1)
 2.  
A model of a dinosaur skeleton was made using a scale of 1 in : 15 in in a museum. If the size of the dinosaur's tail in the model is 8 in, then find the actual length of dinosaur's tail.
a.
140 in
b.
110 in
c.
120 in
d.
130 in


Solution:

Let, n be the actual size of the dinosaur's tail.

115 = 8n
[The dimensions of the actual dinosaur will be in proportion to the dimensions of the model.]

n × 1 = 8 × 15
[Write the cross products.]

n = 120
[Simplify.]

So, the actual size of the dinosaur's tail is 120 in.


Correct answer : (3)
 3.  
The scale of the picture shown is 1 cm : 3 in. Find the actual height of the cup.


a.
6 in
b.
5 in
c.
8 in
d.
7 in


Solution:

Let m be the actual height of the cup.

13 = 2m
[Write the proportion.]

m × 1 = 3 × 2
[Write the cross products.]

m = 6
[Simplify.]

The actual height of the cup is 6 in.


Correct answer : (1)
 4.  
The scale of the picture shown is 1 inch : 10 cm. What would be the actual height of the penguin?

a.
34 cm
b.
38 cm
c.
30 cm
d.
26 cm


Solution:

Let p be the actual height of the penguin.

110 = 3p
[Write the proportion.]

p × 1 = 10 × 3
[Write the cross products.]

p = 30
[Simplify.]

The actual height of the penguin is 30 cm.


Correct answer : (3)
 5.  
A botany student drew a sketch of a birch tree using a scale of 1 inch : 2 meters. Find the actual height of the tree, if it measures 3 inches in the sketch.
a.
7 meters
b.
2 meters
c.
6 meters
d.
5 meters


Solution:

Let n be the actual height of the birch tree.

1 / 2 = 3 / n
[Write the proportion.]

n × 1 = 3 × 2
[Write the cross products.]

n = 6
[Simplify.]

The actual height of the birch tree is 6 meters.


Correct answer : (3)
 6.  
A map is drawn using a scale of 1 inch : 4 meters. If the length of a paved path on the map is 16 inches, then find the actual length of the paved path.
a.
61 meters
b.
67 meters
c.
59 meters
d.
64 meters


Solution:

Let n be the actual length of the paved path.

14 = 16n
[Write the proportion.]

n × 1 = 16 × 4
[Write the cross products.]

n = 64
[Simplify.]

The actual length of the paved path is 64 meters.


Correct answer : (4)
 7.  
A model of a dinosaur skeleton was made using a scale of 1 ft : 10 ft in a museum. If the size of the dinosaur's tail in the model is 4 ft, then find its actual length.
a.
40 ft
b.
30 ft
c.
60 ft
d.
50 ft


Solution:

Let, n be the actual size of the dinosaur's tail.

110 = 4n
[The dimensions of the actual dinosaur will be in proportion to the dimensions of the model.]

n × 1 = 4 × 10
[Write the cross products.]

n = 40
[Simplify.]

So, the actual size of the dinosaur's tail is 40 ft.


Correct answer : (1)
 8.  
A map company used a scale of 1 inch : 380 meters to depict the heights of different mountains. What is the height of a mountain on map, which is actually 3420 meters high?
a.
12 inches
b.
9 inches
c.
11 inches
d.
10 inches


Solution:

Let n be the height of the mountain on map.

1380 = n3420
[The original height of the mountain should be in proportion with the height of the mountain on map.]

n x 380 = 1 x 3420
[Write the cross product.]

n = 9
[Simplify.]

The height of the mountain on the map is 9 inches.


Correct answer : (2)
 9.  
The scale of the picture shown is 1 cm : 3 in. Find the actual height of the cup.


a.
5 in
b.
7 in
c.
6 in
d.
8 in


Solution:

Let m be the actual height of the cup.

13 = 2m
[Write the proportion.]

m × 1 = 3 × 2
[Write the cross products.]

m = 6
[Simplify.]

The actual height of the cup is 6 in.


Correct answer : (3)
 10.  
The scale of the picture shown is 1 inch : 10 cm. What would be the actual height of the penguin?


a.
38 cm
b.
26 cm
c.
34 cm
d.
30 cm


Solution:

Let p be the actual height of the penguin.

110 = 3p
[Write the proportion.]

p × 1 = 10 × 3
[Write the cross products.]

p = 30
[Simplify.]

The actual height of the penguin is 30 cm.


Correct answer : (4)

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