Geometry Volume and Scale Factor

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile

• 1 inch = 42 miles

• 40 inches = 1 mile

• 
  1 inch = 40 miles

Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____

• 39 inches

• 156 inches

• 38 inches

• 157 inches

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Whittemore Park Middle School is 30 feet tall. A 5 inch tall scale model of the school was made by the art club. What is the scale of the model?

• one inch = 6 feet

• one inch = 6 inches

• one inch = 72 inches

The Waccamaw Bridge is 60 yards long. The length of a model of the bridge is 15 inches long. What is the scale of the model?

• one inch = .25 yards

• one inch = 4 yards

• one inch = 144 inches

The actual length of a car is 14.5 ft. A model of the car is 7.25 inches long. What is the scale?

• one inch = 24 inches

• one inch = 2 ft

• one inch = 0.5 ft

A model airplane is built with a wing span of 23 inches. The actual wing span is 92 ft. What is the scale of the model?

• one inch = 48 inches

• one inch = .25 feet

• one inch = 4 feet

An area rug is 9 feet wide. In a photograph, the image of the rug is 3 inches wide. What is the scale of the model?

• one inch = 3 feet

• one inch = .33 feet

• one inch = 36 inches

A large American flag measures 225 feet wide. In an advertisement for renting this flag, the image of the flag is 4 inches wide. What is the scale factor?

• 1: 675

• 1:56.25

• 1: 65

If George Washington's face is 60 ft tall on Mt. Rushmore and a model of his face is mountain is 60 inches tall. What is the scale factor?

• 1: 1

• 1:12