Objective
To make nets and drawings of three-dimensional figures
In the Solve It, you had to “see” the projection of one side of an object onto a flat surface. Visualizing figures is a key skill that you will develop in geometry.
Essential Understanding You can represent a three-dimensional object with a two-dimensional figure using special drawing techniques.
A net is a two-dimensional diagram that you can fold to form a three-dimensional figure. A net shows all of the surfaces of a figure in one view.
The net below folds into the cube shown beside it. Which letters will be on the top and front of the cube?
How can you see the 3-D figure?
Visualize folding the net at the seams so that the edges join together. Track the letter positions by seeing one surface move in relation to another.
A, C, E, and F all share an edge with D when you fold the net, but only two of those sides are visible in the cube shown. | |
A wraps around and joins with D to become the back of the cube. B becomes the left side. F folds back to become the bottom. | |
E folds down to become the top of the cube. C becomes the front. |