# Lesson 6Sand CastlesSolidify Understanding

## Ready

Find the exact value of the indicated lengths.

(The triangles in problems 1, 2, and 3 are right triangles.)

## Set

### 6.

In 1946, a miracle cleaning product was launched in the United States. It was granular laundry detergent instead of bar soap. For almost 20 years after 1946, laundry detergent came in a box shaped much like a box of cereal.

In the late 1960s, the shape of the box changed so that it would fit better on a shelf. No one wanted to buy the new detergent because it was the same price but the box looked much smaller.

Prove to consumers that the new box was actually a better bargain.

### 7.

Brand A of powdered hot cocoa mix is packaged in a rectangular box. Brand B is packaged in a cylindrical container. Both brands sell for the same price. Which brand is the better deal?

### 8.

A distribution company uses a small packing container, as shown in the figure. Find the volume.

### 9.

A large order is placed with the distribution company in problem 8 for a container that has a capacity of . The company has a similar container that is larger than the one in problem 8 by a scale factor of . Will the larger container be big enough to contain ? Justify your answer.

### 10.

A cannister for storing flour has the dimensions shown. A similar cannister for storing sugar has been scaled down by a factor of . Compare the volume of the flour cannister to the volume of the sugar cannister.

## Go

Change the measure of the given angle to radian measure. Leave in your answers.

### 16.

Change the measure of the given angle to degrees.