Name _______________________________________ Date __________________ Class _________________
LESSON
5-8
Practice B
Scale Drawings and Scale Models
1
in. = 15 mi. Find the actual
4
distance of each measurement.
The scale used on a map is
1. 9 in.
2. 12 in.
_______________
3. 14 in.
________________
4. 15 in.
________________
________________
Tell whether each scale reduces, enlarges, or preserves the
size of an actual object.
5. 1 m : 25 cm
________________________
6. 8 in. : 1 ft
________________________
7. 12 in. : 1 ft
________________________
8. On a map of the United States, the distance between
Washington, DC and Spokane, Washington, is 16.5 inches. The
scale of the map is 1 inch: 150 miles. What is the actual distance
between the cities?
________________________________________________________________________________________
9. On a map the distance between Atlanta, Georgia, and Nashville,
Tennessee, is 12.5 in. The actual distance between these two
cities is 250 miles. What is the scale?
________________________________________________________________________________________
1
in. = 1 ft.
4
A kitchen measures 3.5 in. by 5 in. on the blueprints. What is the
actual size of the kitchen?
10. Blueprints of a house are drawn to the scale of
________________________________________________________________________________________
11. A scale model of a house is 1 ft long. The actual house is 50 ft
1
long. In the model, the window is 1 in. high. How many feet
5
high is the actual window?
________________________________________________________________________________________
12. A model of a skyscraper is 1.6 in. long, 2.8 in. wide, and 11.2 in.
high. The scale factor is 8 in. : 250 ft. What are the actual
dimensions of the skyscraper?
________________________________________________________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
69
Holt McDougal Mathematics
Problem Solving
1. 225 m
3. 21 ft
5. F
Practice C
2. 85 ft
4. B
1.
3.
5.
7.
9.
11.
Reading Strategies
1. The unknown height of the cactus.
2. Because the triangles are similar and
corresponding parts are proportional.
3. Substitute 5 for Danny’s height, 12 for
his shadow, h for the cactus height,
and 36 for the length of the cactus
shadow.
4.
5
h
=
; h = 15
12 36
13. 1 in. × 1.5 in.
1. 1; 3.5
262.5
5. 15 ft
540 mi
840 mi
enlarges
preserves
1 in. = 20 mi
2.
4.
6.
8.
10.
720 mi
900 mi
reduces
2475 miles
14 ft × 20 ft
25
25 km
x
84
7x = 84
x=9
x = 12
9 ft
12 points
1
1
ft;
ft
8
28
! 1$
3. 2 × # &
"2%
2. 1 ft = 100 yd
2.
3
ft
512
n
ft
4. 162 ft; 13,122 ft
6. 2 × 3n ft
5. 354,294 ft
7. Possible answer: 2 and 3 are
relatively prime so there are no
positive integers n and m such that
3m
= 1.
2n
Practice B
1.
3.
5.
7.
9.
4.
175; 7
7x = 175
Challenge
Practice A
72 mi
66 mi
4 in.
80 mi
2220 mm
2.
3. x
4.5
0.5x = 4.5
1.
4.
6.
8.
10.
12.
14. 127 cm
262.5 mi
LESSON 5-8
96 mi
24 mi
130 km
2.25 in.
6 ft
enlarges
preserves
reduces
1:24
1:600
16 ft × 20 ft
Review for Mastery
Across
2. PROPORTIONAL, 5. SIMILAR,
6. CROSS, 7. ANGLES
Down
1. TRIANGLES, 3. PROPORTION,
4. INDIRECT
3.
5.
7.
9.
11.
2.
4.
6.
8.
10
12.
15. 45 ft long, 60 ft wide, 600 ft high
Puzzles, Twisters & Teasers
1. 1 in. = 2 ft
reduces
preserves
enlarges
2:1
1:15
2 in. = 5 ft
Problem Solving
1. 61
3. 10−10
5. A
7. A
9. C
11. 5 ft
12. 50 ft long, 87.5 ft wide, 350 ft high
2. 0.7 in.
4. 10−13
6. H
8. G
10. H
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
86
Holt McDougal Mathematics