Geometry Volume and Scale Factor

The actual distance between two house is 5 meters. On a map the distance is 10 cm. What is the scale factor?

• 1:2

• 1:5

• 1:50

A tree house is 10 ft tall. A model of the tree house is 6 inches tall. What is the scale factor?

• 1:6

• 1:20

• 2:5

A doghouse is 3 feet tall. In an advertisement, the doghouse is 0.5 inches tall. What is the scale factor?

• 1:72

• 1:6

• 1:36

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Find side length X.

• 16

• 18

• 2.4

• 15

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 7 km

• 5 km

• 15 km

• 17 km 

Irene measured a shopping center and made a scale drawing. The scale she used was 2 inches : 1 foot. If a bakery in the shopping center is 104 inches in the drawing, how long is the actual bakery?

• 52 ft

• 208 ft

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

• 90 ft

• 7.5 ft 

• 4.5 ft

• 45 in