Google Earth Voyager Story: Architectural Prisms, Part 1

What do boxes and wedges have in common? They are part of a family of three-dimensional figures called prisms. In this lesson we will be exploring triangular prisms, especially in the context of the architecture of the Flatiron Building in New York City. This is part of a lesson on Google Earth. To see the Google Earth version of this lesson go to this link (best viewed in Chrome).

Note: We also have related lessons on these topics:

1. Introduction: Prisms

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

 

2. Applications of Triangular Prisms: The Flatiron Building

Now that you have a basic understanding of prisms, let's take a look at an example, the Flatiron Building in New York City. Built over a century ago, its basic design is that of a triangular prism. Watch the video to learn more.

3. Constructing a Triangular Prism

A triangular prism has two triangular faces and three rectangular ones. Watch the animation to see what a triangular prism is supposed to look like.

 

To construct a triangular 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--there are two nets per page on this PDF.) The video shows how the net folds into a triangular 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 the Flatiron Building

Now that you know how to construct a triangular prism, use your knowledge to build a scale model of the Flatiron Building. Use the following information about the Flatiron Building:

  • The triangular portion is a right triangle whose legs are in a 2:1 ratio.
  • The ratio of the short leg to the prism height is 1:3.5
  • 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.