﻿ Scale Drawing Worksheet | Problems & Solutions

Scale Drawing Worksheet

Scale Drawing Worksheet
• Page 1
1.
The scale of the picture is $\frac{1}{2}$ 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.

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.

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.

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.

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.

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.

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.

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.

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.

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.