Surface Area vs. Volume Decision Making Name______
Decide if each of these problems will use your surface area or volume skills then solve. Use a formula for each. Beware; you need your thinking cap for this!!!!!!!!
1. A truck whose bed is 8 feet long, 5 feet wide, and 3 feet high is delivering sand for a sand sculpture competition. How many cubic feet of sand can the truck carry at one time? How many trips must the truck make to deliver 720 cubic feet of sand?
2. Cody is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces, how much area will he paint? Explain.
3. The town of Riverview provides a rectangular recycling bin for newspapers to each household. If the volume is 3,840 cubic inches, what is the height of the recycling bin?
4. Black fuzzy die are cubes that come in a standard size with an edge length of 3 inches. You want to pull a prank on your friend by filling their locker with these dice. If the volume of the locker is 4887 cubic inches, how many dice will fit?
5. You are going to wrap this doll for a baby present in wrapping paper. How many square feet of wrapping paper will it take to cover the present?
7.5 in
6. Kyle fills the candle mold with liquid candle wax. If the candle has a volume of 99 cubic inches, what is the width of the mold?
7.
If the water level is 2 inches below the top of the tank, what is the volume of the water in the tank?
8. You need to wrap a present that is in the shape of a square pyramid with a base that has an edge length of 12 inches and a slant height of 11 inches. If your parents give you 400 square inches of wrapping paper, how much will you have left after wrapping the present?
9. Find the amount of cardboard needed to make a box for a single slice of pizza. The box is in the shape of a triangular prism as shown.
10. The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?
11. For Valentine’s Day, you purchased a box of chocolates for your grandmother. Each chocolate has a volume of 6 cubic centimeters. If the box has a length of 11 cm., width of 9 cm. and height of 8 cm., how many chocolates fit in the box?
12. William has some antique bottles. He is going to fill the bottles with bath soap and give them away as gifts. Use the figure to find how much soap can fit in the bottle.