MMB Activity 6.11 Pages 754-756 #1-13
Objective: Use geometry formulas to solve problems. Use scale drawings in the problem-solving process.
With summer approaching, your neighbor decides to invest in a new in-ground swimming pool with dimensions given in the following scale drawing:
1. Use the scale drawing measuremnts to determine the dimensions (in feet) of your neighbor’s new pool.
2. Calculate the perimeter of the top view of the pool.
3. Calculate the surface area of the top of the pool.
4. Calculate the area of the side view of the pool.
5. Calculate the total volume of the pool (hint: Remember that ot obtain the volume of a prism or cylinder, you multiply the area of the top or bottom by the height (the distance between the parallel top and bottom). What is the distance between the two side views?).
6. If the pool is to be filled with water to within 6 inches of the pool’s top edge, calculate the amount of water needed to fill the pool. What are your units?
7. Determine the number of gallons of water needed to fill the pool. (there are 7.48 gallons in 1 cubic foot of water.)
8. A garden hose can fill the pool at a rate of 4.5 gallons per minute. How many minutes will it take to fill the pool? How many hours? How many days?
9. A pool-filling company changes $0.03 per gallon for water delivered in a big tanker truck. How much will this company charge to fill the pool?
10. Because of soil conditions in your area, your neighbor needs to know the weight of water in the pool. Water weights 62.4 pounds per cubic foot. Calculate the weight of the water in the pool to the nearest pound. Compare it with the weight of an average car.
(The average car weighs in at about 3,000 to 4,500 pounds for a compact car, 4,500 to 5,500 pounds for a mid size car or a sedan, light trucks, vans, and SUVs’ can weigh between 5,000 to 7,000 pounds, and full size trucks between 7,500 to 12,000 pounds. You can find the weight of your vehicle if you look on the sticker either on the side of the driver’s door, or on the main car frame when you open the driver’s door.)
11. To prevent accidents, state law requires that all pools be enclosed by a fence. How many feet of fencing are needed, if a fence will be placed around the pool 4 feet from each side?
12. You decide to buy some beach balls of 100 cubic feet volume for playing in the pool. What is the diameter of the balls?
13. To decorate the area around the pool with flowers, you neighbor purchases conical urns of radius 1.5 ft and height 3 ft. . How much soil must he buy to fill each urn?