# Lesson 11

Slicing Solids

Let's see what shapes you get when you slice a three-dimensional object.

### Problem 1

A cube is cut into two pieces by a single slice that passes through points \(A\), \(B\), and \(C\). What shape is the cross section?

### Problem 2

Describe how to slice the three-dimensional figure to result in each cross section.

Three-dimensional figure:

Cross sections:

### Problem 3

Here are two three-dimensional figures.

Describe a way to slice one of the figures so that the cross section is a rectangle.

### Problem 4

Each row contains the degree measures of two supplementary angles. Complete the table.

measure of an angle | measure of its supplement |
---|---|

\(80^\circ\) | |

\(25^\circ\) | |

\(119^\circ\) | |

\(x\) |

### Problem 5

Two months ago, the price, in dollars, of a cell phone was \(c\).

- Last month, the price of the phone increased by 10%. Write an expression for the price of the phone last month.
- This month, the price of the phone decreased by 10%. Write an expression for the price of the phone this month.
- Is the price of the phone this month the same as it was two months ago? Explain your reasoning.