You find a crystal in the shape of a prism. Find the volume of the crystal.

The point \(B\) is directly underneath point \(E\), and the following lengths are known:

• From \(A\) to \(B\): 2 mm
• From \(B\) to \(C\): 3 mm
• From \(A\) to \(F\): 6 mm
• From \(B\) to \(E\): 10 mm
• From \(C\) to \(D\): 7 mm
• From \(A\) to \(G\): 4 mm

This carved wooden jewelry box is from Indonesia. The base of the box is an octagon with each side 4.2 cm long. The box is 9 cm tall. What is the volume of the box?

A triangle has one side that is 7 cm long and another side that is 3 cm long.

1. Sketch this triangle and label your sketch with the given measurements. (If you are stuck, try using a compass or cutting some straws to these two lengths.)

2. Draw one more triangle with these measurements that is not identical to your first triangle.

3. Explain how you can tell they are not identical.

Select all equations that represent a relationship between angles in the figure.

A mixture of punch contains 1 quart of lemonade, 2 cups of grape juice, 4 tablespoons of honey, and \(\frac12\) gallon of sparkling water. Find the percentage of the punch mixture that comes from each ingredient. Round your answers to the nearest tenth of a percent. (Hint: 1 cup = 16 tablespoons)