# Lesson 3 Take Another Spin Solidify Understanding

For problems 1–3, use the two spinners with equal-sized sections.

### 1.

Create a representation of the sample space created by spinning the first spinner followed by spinning the second spinner.

### 2.

Find the probability of the first spinner landing on blue and the second spinner landing on green.

### 3.

Find the probability of the first spinner landing on red and the second spinner landing on brown or gray.

For problems 4–6, four different colored marbles were pulled from a paper bag. The color of the marble was recorded, and then the marble was put back into the bag. There are

Marble Color | Frequency of Selection |
---|---|

blue | |

green | |

red | |

yellow |

### 4.

What is the probability of selecting a green marble?

### 5.

What is the probability of selecting a red marble?

### 6.

Based on the frequency that each marble was selected, how many of each color of marble would you predict are actually in the bag?

The picture shown is of the Washington Monument in Washington, DC. The shaft of the monument is a square frustum. The bottom square measures

### 7.

Find the length of the sides and the altitude of the

(Height of pyramid is

### 8.

Find the area of each face of the pyramid.

### 9.

Find the area of the

### 10.

Find the total surface area of the Washington Monument.

### 11.

Find the total volume of the Washington Monument.

Volume of a square frustum:

Volume of pyramid:

### 12.

Draw a sketch of the 3-D object formed by rotating the figure about the

Use the given information and what you know about triangles to find the measure of the missing angles in the triangles.