1. What are the volume and surface area of a soccer ball with circumference 70 centimeters?

Volume: 17,377 cubic centimeters; Surface Area: 3,244 square centimeters

Volume: 46,338 cubic centimeters; Surface Area: 6,239 square centimeters

Volume: 520 cubic centimeters; Surface Area: 313 square centimeters

Volume: 5,792 cubic centimeters; Surface Area: 1,560 square centimeters

2. Abrar is creating a model of the Pyramid of Giza using clay. The Pyramid of Giza has a square base with side length of 756 feet and height 481 feet. Abrar's model will use the same proportion of base side length to height, but he only has enough material to create a base side length of 15 inches. What will be the volume of Abrar's model? Do not round off until the final step. (Hint - The model proportion needs to equal 1.57.)

750 cubic inches

1,125 cubic inches

717 cubic inches

1,768 cubic inches

3. Sean is shipping a box in the shape of a rectangular prism to his brother at college. The box will need to hold 465 cubic inches. The dimensions of the box need to be such that the length is 2 inches less than 3 times the width and the height is half the width. What is the surface area of the box Sean is shipping?

405.3 square inches

175.5 square inches

448 square inches

280 square inches

4. A town is using a storage container in the shape of an inverted cone to store salt for treating icy roads. If the town needs to store 10,000 cubic feet of salt, and the cone has a height equal to half its radius, what are the dimensions of the storage container?

Height is 9.3 feet and diameter is 37.1 feet.

Height is 11.7 feet and diameter is 46.7 feet.

Height is 16.8 feet and diameter is 67.4 feet.

Height is 13.4 feet and diameter is 53.5 feet.

5. Andy needs to create an open topped box to carry a catapult to school for physics class. He uses a piece of cardboard that is 40 inches by 50 inches to make the box and plans to cut out square corners of measure x inches. What is the area of the base of the box with the maximum possible volume?

1,078 square inches

892 square inches

1,151 square inches

1,392 square inches

6. A beverage company is creating a can to hold 25 cubic inches of diet cola. What is the surface area of the can that will use the minimum amount of material?

60.6 square inches

49.1 square inches

47.3 square inches

53.1 square inches

7. An amusement park operator is determining the density of people in the Water Park section of its park. They know that there are 5,000 people in the Water Park at noon and that the Water Park covers 25 acres. What is the density of the Water Park at noon?

100 people per acre

40 people per acre

200 people per acre

0.005 acres per person

8. The density of quartz is 2.65 grams per cubic centimeter. If you find a piece of quartz that measures 60 cubic centimeters, how many grams of quartz did you find?

15.9 grams

0.04 grams

22.6 grams

159 grams