Problem #1

Both a globe and a map are models of the earth. Suppose a globe has a scale of 1:42 million and the scale of a map of the earth has a scale of 1:66 million.

a. If the widest distance across Greenland on the globe is 1.02 inches, what is the actual widest width of Greenland in miles when using the globe as a model?

Rounded to the nearest mile.

b. If the widest distance across Greenland on the map is 2.88 inches, what is the actual distance across Greenland when using the map as a model?

Rounded to the nearest mile.

c. It's obvious that the answers for parta and partb are vastly different.

You may have noticed this when comparing a globe to a map. Typically, a map makes Greenland look as large as the United States, which is grossly overestimated.

Which model would represent the more accurate width across Greenland and why?

Problem #2

A sports team has decided to build a new stadium and commissions an architect to design the structure. The architect builds a model that is 36 inches long and has a scale of 1:1,160.

a. What will be the actual length of the new stadium in feet? Round to the nearest foot.

b. On the model, each seat is .02 inches wide. How many seats can fit along a 50-foot row of seating?

Problem #3

The movie Titanic, made in 1997, was the first film to earn 1 billion dollars worldwide. In making the movie, the director had the right-side of a scale model built for a set. The model was destroyed while filming part of the movie. The scale model was 90% the length of the original ship. This means the scale was 9:10.

a. The original ship was 883 feet long. How long was the model?

Round to the nearest foot.

b. It is said that it took the actors 8 minutes to walk from the front of the model to the back at an average pace. At the same pace, how long would it have taken to walk from the front to the rear of the actual ship?

Round to the nearest tenth of a minute.