Perimeter or Circumference Applications
What is the perimeter of the base of the cup, if the cup is in the shape of an octagonal prism?
Solving geometric problems, such as those found in art and architecture, is an important skill. As with any mathematical problem, you can use the 4-step problem solving model to help you think through the important parts of the problem and be sure that you don't miss key information.
There are a lot of different applications of geometry to real-world problem solving. Some of the more common applications include the following:
Perimeter or Circumference Applications
What is the perimeter of the base of the cup, if the cup is in the shape of an octagonal prism?
In West Texas, farmers use circular sprinklers that pivot around a center point to irrigate their crops. From the air, you can see distinct circles from the resulting vegetation. If there are four sprinklers anchored in a field and each sprinkler extends 100 feet from the pivot point, how much area does the farmer irrigate?
Surface Area Applications
The JP Morgan Chase Bank Tower in downtown Houston, Texas, is one of the tallest buildings west of the Mississippi River. It is in the shape of a pentagonal prism. If 40% of each face is covered with glass windows, what is the amount of surface area covered with glass?
Proportional Reasoning
The dimensions of Vincent van Gogh's Starry Night are 29 inches by 361 over 4 1 4 inches. If a print reduces these dimensions by a scale factor of 30%, what will be the dimensions of the print?