Question

A model of a skyscraper is made using a scale of 1 inch: 75 feet. What is the height of the actual building if the height of the model is 19 2/5 inches?

Answer 1

4. If 8 ft = 1 in
Then 60 ft = 60 x 1/8 = 7.5 in
Length of model = 7.5 in
Scale factor = 1/8

5. If 4 m = 1 cm
Then 192 m = 192/4 x 1 = 48 cm
Length of model = 48 cm
Scale factor = 1/4

6. If 1.5 ft = 2 in
Then 13.5 ft = 13.5 x2/1.5 = 18 in
Length of model = 18 in
Scale factor = 2/1.5 =1.333

Skyscraper

Scale = 1 in : 75 ft
Height of model= 19 2/5in=19.4in

Height of actual building
19.4 x 75 = 1455 ft