### MATH 113: Nets

**Name:**

This worksheet provides students with practice in matching three-dimensional figures to their two-dimensional nets and with isometric drawings of those figures.

For each of the five shaded regions on the graph paper you were given:
- Figure out whether the region can be cut out and then folded into a cube.
- If it can be folded into a cube, draw a picture of that cube on the isometric dot paper with the faces labeled A and B showing.
- If it cannot be folded into a cube, use the back of this paper to explain why not (e.g. the first and second squares in the row of four squares always overlap).

The first region has been done for you.
**Region number** | **Makes a cube?** | **Explanation given or picture drawn?** |

**1** | yes | x |

**2** | | |

**3** | | |

**4** | | |

**5** | | |

Bonus: The two cubes drawn are from a desk calendar. All the two digit numbers from 01 to 31 can be formed by placing the cubes next to each other in different orientations (the number 25 is currently shown).
a) What are the three numbers on the right cube that are not shown?

b) What are the four numbers on the left cube that are not shown?