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 solve these multiple-choice questions, we need to use the concept of scale. Scale is a ratio that relates the dimensions of an actual object or distance to its representation on a map or scale drawing. The formula to find the map distance is:
Map distance = Actual distance / Scale
For the first question:
Actual distance = 135 km
Map scale = 1 cm:100 km
Substituting the values into the formula:
Map distance = 135 km / 100 km
Map distance = 1.35 cm
So, the correct answer is B. 1.35 cm.
For the second question:
Map distance = 2 cm
Map scale = 1 cm:45 km
Substituting the values into the formula:
Actual distance = 2 cm * 45 km
Actual distance = 90 km
So, the correct answer is A. 90 km.
For the third question:
Model height = 7 inches
Scale = 1 inch:1.5 feet
Substituting the values into the formula:
Actual height = 7 inches * 1.5 feet
Actual height = 10.5 feet
So, the correct answer is B. 10.5 ft.
For the fourth question:
Drawing width = 2 inches
Actual width = 8 feet
Substituting the values into the formula:
Scale = 2 inches / 8 feet
Scale = 1 inch:4 feet
So, the correct answer is A. 1 in. = 4 ft.