Scale Models and Drawings Math

Change both measurements to the same unit of measure, and find the scale factor.
1 ft model of a 1 in. fossil 

• 12/1

• 6/1

• 18/1

• 24/1

A scale model of a house is 1 ft long. The actual house is 36 ft long. In the model, the door is 2 in. high. How many feet high is the actual door?

• 12 feet

• 6 feet

• 18 feet

• 4 feet

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches

• 60 inches

• 1/30 inch

• 30 inches

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in

• 7 in

• 42 in

• 56 in

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

• 87 km

• 216 km 

• 33 km

• 192 km

Review the picture.  Find the missing side measurement in the picture using a proportion.

• w = 18 m

• w = 6 m

• 6 m

• w = 0.16 m

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

• 9ft x 10ft

• 1ft x 2ft

• 12ft x 6ft

• 18ft x 20ft

Your scale is 1 inch to 5 miles. If the drawing shows a road that is 2 inches long, how many miles is the actual road?

• 5 miles

• 2.5 miles

• 10 miles

• 7 miles

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train?

• 4,896,000 millimeters

• 4,896 millimeters

• 48.96 meters

• 2.125 millimeters

Kiera measured a farm and made a scale drawing. In real life, the goat pen is 18 meters long. It is 6 centimeters long in the drawing. What scale did Kiera use for the drawing?

• 1 cm = 6 meters

• 1 m = 18 centimeters

• 18 centimeters = 6 meters

• 1 cm = 3 meters