Multiple Choice
The actual distance between two cities is 135 km. The map scale is 1 cm:100 km. Find the map distance.
A. 13.5 cm
B. 1.35 cm*
C. 0.135 cm
D. 1350 cm
On a map of New Mexico, 1 cm represents 45 km. The distance from Albuquerque to Santa Fe is 2 cm. Find the actual distance.
A. 90 km*
B. 22.5 km
C. 15 km
D. 60 km
A scale model of a statue is 7 inches tall. The scale of the model is 1in/1.5ft. What is the actual height of the statue?
A. 7 ft
B. 10.5 ft*
C. 8.5 ft
D. 4.5 ft
On a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawing?
A. 1 in. = 4 ft*
B. 1 in. = 6 ft
C. 4 in. = 1 ft
D. 4 in. = 6 ft
To find the map distance, we can use the formula:
Map distance = Actual distance / Scale
For the first question:
The actual distance between the two cities is given as 135 km.
The map scale is given as 1 cm:100 km.
Using the formula, we have:
Map distance = 135 km / 100 km = 1.35 cm
So the correct answer is B. 1.35 cm.
For the second question:
The map scale is given as 1 cm:45 km.
The map distance from Albuquerque to Santa Fe is given as 2 cm.
Again, using the formula, we have:
Actual distance = Map distance x Scale
Actual distance = 2 cm x 45 km = 90 km
So the correct answer is A. 90 km.
For the third question:
The scale of the model is given as 1 in/1.5 ft.
The height of the model is given as 7 inches.
Using the formula, we have:
Actual height = Height of model x Scale
Actual height = 7 inches x 1.5 ft/inch = 10.5 ft
So the correct answer is B. 10.5 ft.
For the fourth question:
The width of the sand box on the drawing is given as 2 inches.
The actual width of the sand box is given as 8 feet.
Using the formula, we have:
Scale = Map distance / Actual distance
Scale = 2 inches / 8 feet = 1/4 = 1 in. = 4 ft
So the correct answer is A. 1 in. = 4 ft.