Google Earth Voyager Story: Architectural Prisms, Part 2

Many buildings that make up the New York skyline are rectangular prisms, and many of the tallest buildings are office towers. An exception to that is 432 Park Avenue, which is one of the tallest residential towers in the world. Its geometry is that of a rectangular prism with a square base. In this lesson we will be exploring rectangular prisms, especially in the context of the architecture of 432 Park Avenue. This is part of a lesson on Google Earth. To see the Google Earth version of this lesson go to this link and press the Present button (best viewed in Chrome). LINK TO COME

Note: We also have related lessons on these topics:

1. Introduction: Prisms

Before diving into rectangular prisms, get a broad understanding of prisms. Watch the following video.

 

2. Applications of Rectangular Prisms: 432 Park Avenue

Now that you have a basic understanding of prisms, let's take a look at an example, 432 Park Avenuein New York City. Its basic design is that of a rectangular prism with a square base. Watch the video to learn more.

3. Constructing a Rectangular Prism

A rectangular prism with a square base has two square faces and four rectangular ones. Watch the animation to see what a rectangular prism is supposed to look like.

 

To construct a rectangular prism use a net like the one shown here. Print and cutout the net, or construct one of your own. (Click here for a printable version of the net.) The video shows how the net folds into a rectangular prism. Note: The net shown below includes flaps to use glue in constructing the prism.

 

Follow these steps to create your triangular pyramid using the net:

  1. Print the net.
  2. Cut the net along the outline. Be sure to include the flaps.
  3. Fold along all the lines, including the flaps.
  4. Working on one side at a time, place glue on the flaps and attach them to the underside of the opposite side.
  5. Repeat with the other side of the net.
  6. Let the glue dry before handling the net.

4. A Scale Model of 432 Park Avenue

Now that you know how to construct a rectangular prism, use your knowledge to build a scale model of 432 Park Avenue. Use the following information about the tower:

  • The ratio of the tower height to the length of the square sides is 15:1.
  • Try to get your net to look like this in shape.
  • Be sure to include flaps to make it easier to glue the sides together.