Scale Drawings and Models Word Problems

A scale drawing showing the distance from your house to the school has a scale of 1.5 cm to 5 km. If the actual distance from your house to the school is 30 km, what is the distance on the drawing?

• 3 1/3 cm

• 9 cm

• 3 1/3 km

• 9 km

Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the nearest tenth

• 2 cm

• 1/2 cm

• 8 cm

• 1/4 cm

An engineering scale model shows a church that is 2 inches tall. If the scale is 1 inch = 265 feet, how tall is the actual church?

• 132.5 ft

• 132.5 in

• 530 ft

• 530 in

The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm apart on the map, what is the distance between Maine and Japan?

• 8,800 km

• 18.18 cm

• 800 km

• 18.18 km

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

• 26 in

• 104 ft

• 40 in²

• 640 ft²

The scale model of a building is 6.5 inches tall. How tall is the actual building if the scale used for the model is 1 inch = 150 feet?

• 650 feet

• 840 feet

• 900 feet

• 975 feet

• A
• B
• C
• D

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

If the actual dimensions of the kitchen are 24 ft. by 24 ft., what is the scale of the drawing?

• 1cm : 9ft

• 1cm : 8ft

• 4cm : 1ft

• 1cm : 4ft