Scale Models and Drawings Math

The straight-line distances between Houston and several cities on a map of Texas are shown in the table. The scale is 2 cm:50 mi. Find the actual distances in miles.
Answers are for Austin and Galveston (respectively).

• 145 miles and 47.5 miles

• 317. 5 miles and 145 miles

• 145 miles and 47.5 miles

• 225 miles and 145 miles

What is the scale of a drawing where a 6 m wall is 4 cm long?

• 1 cm = .66 m

• 1 cm = 1.5 m

• 1 cm = 3 m

• 1 cm = 4 m

A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?

• 2 feet = 50 yards

• 1 foot = 200 yards

• 1 foot = 100 yards

• 1 foot = 50 yards

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

• 200 miles

• 175 miles

• 100 miles

• 125 miles

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

Kim was visiting an amusement park. At the entrance, she saw a map of the park. The legend stated that 1.5 inches on the map represents 4 feet in the park. On the map, (a)   inches would represent 20 actual feet.

• 7.5

• 5

• 6

• 53

A scale drawing of Mt. Marcy is 17.8 inches high. Determine the actual height of Mt. Marcy if the scale used for the drawing was 1.5 inches = 450 feet.

• 8,010 feet

• 5,340 feet

• 12,015 feet

• A
• B
• C
• D

• 26 in

• 104 ft

• 40 in²

• 640 ft²

A flagpole and a model flag pole have a scale factor of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?

• 16 feet

• 3 feet

• 48 feet

• 9 feet