# Lesson 7 Footprints in the Sand Solidify Understanding

### 1.

Plot each pair of points on the coordinate grid. Then find the length of the line segment that connects each pair of points.

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### 2.

Plot each pair of points on the coordinate grid. Then find the length of the line segment that connects each pair of points.

: : :

### 3.

What made the third length in problems 1 and 2 more difficult than the others?

Volume Formulas |
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rectangular prism: pyramid: cylinder: cone: |

### 4.

A marble pyramid with dimensions as shown was sculpted from a marble block. Find the volume.

### 5.

The pyramid shown in problem 4 was chiseled from a block of marble with the dimensions

#### a.

How much marble (in

#### b.

What fraction of the marble block was discarded?

### 6.

A decorator for a resort ordered a bigger pyramid similar to the pyramid in problem 4, but scaled up by a factor of

### 7.

The Crystal Wizard Gift Shop and Meditation Center sells miniature crystal pyramids with dimensions as shown. Design a packing box that will hold

### 8.

A movie theater sells buttered popcorn in a cone and in a bucket. The cone has a diameter of

Find the degree measure of angle