5 2b scale-drawings
TRANSCRIPT
• Solve problems involving scale drawings.
• scale drawing
• scale model
• scale
• scale factor
Use a Map Scale
MAPS What is the actual distance between Daytona Beach and Orlando?
Step 1 Use an inch ruler to find the map distance
between the two cities. The map distance
is about or 1.75 inches.
Use a Map Scale
0.5 d = 17.3 1.75 Cross products
0.5d = 30.275 Multiply.
Step 2 Write and solve a proportion using the scale. Let d represent the actual distance between the cities.
Divide each side by 0.5.
Use a Map Scale
Answer: The actual distance between Daytona Beach and Orlando is about 61 miles.
d = 60.55 Simplify.
A. 21 miles
B. 28 miles
C. 42 miles
D. 56 miles
MAPS The distance on a map has a scale of 0.5 inch = 14 miles. The measured distance between West Palm Beach and Ft. Lauderdale on the map is 1.5 inches. What is the actual distance between these two cities?
Use a Scale Model
MURALS An artist is painting a large mural of
flowers on the side of a school. If she uses the
scale 4 inches = 1 inch, how large will the mural
painting of a rose bloom be if it is inches
high?
4 6.25 = 1 h Cross products
25 = h Multiply.
Use a Scale Model
Answer: The mural painting of the rose bloom will be 25 inches high.
A. 40 in.
B. 55 in.
C. 60 in.
D. 80 in.
FURNITURE A full-size model is being created from a child-size rocking chair which has a height of 15 inches. If the scale to be used is 4 inches = 1 inch, what is the height of the model?
Find a Scale Factor
Find the scale factor of a blueprint if the scale is
inch = 3 feet.
Simplify.
Rewrite the division sentence as a multiplication sentence.
Convert 3 feet to inches. Divide out common units.
Find a Scale Factor
Answer: The scale factor is .
A.
B.
C.
D.
Find the scale factor of a blueprint if the scale is
inch = 5 feet.
BUILDINGS An architect is making a model of an apartment building that is 150 feet tall. Find the scale if the model of the apartment building is 3 inches tall. Using this scale, find the height of the model of a house nearby if the actual height is 25 feet.
Construct a Scale Model
Divide the numerator and denominator by 3 so the numerator equals 1.
The scale is 1 inch = 50 feet. Using this scale, find the height of a model of a nearby house.
Construct a Scale Model
1 25
= 50 x
Find the cross products.
25
= 50x
Multiply.
= x Divide by 50.
Construct a Scale Model
Answer: The scale is 1 inch = 50 feet. The height
of the model of the nearby house is
inch.
A. 1 inch = 12 feet; 24 feet
B. 1 inch = 5 feet; 13 feet
C. 1 inch = 5 feet; 10 feet
D. 1 inch = 3 feet; 6 feet
PARKS Steve is making a model replica of a park near his house. One of the trees in his model is 3 inches tall and represents a tree that is actually 15 feet tall. Find the scale of the model and then using this scale, find the actual height of another tree in his model that is 2 inches tall.