I NEED HELP WITH THE 4 QUESTIONS ON THE BOTTOM .........
Step 1: The Family Pool
http://tinypic.com/r/1h4jmh/6
Volume of Pool
V = lwh
V = 24 • 9 • 7
V = 1512 ft3
Amount of Pool Liner Area of Base + Area of Left Side + Area of Right Side + Area of Front Side + Area of Back Side
(24 • 9) + (9 • 7) + (9 • 7) + (24 • 7) + (24 • 7)
216 + 63 + 63 + 168 + 168
678 ft2 Volume of Water
V = lwh
V = 24 • 9 • 6.5
V = 1404 ft3
Step 2: The Dog’s Pool
http://tinypic.com/r/331g1oi/6
Volume of Pool
V = lwh
V = 6 • 2.25 • 1.75
V = 23.625 ft3
Amount of Pool Liner Area of Base + Area of Left Side + Area of Right Side + Area of Front Side + Area of Back Side
(6 • 2.25) + (2.25 • 1.75) + (2.25 • 1.75) + (6 • 1.75) + (6 • 2.25)
13.5 + 3.9375 + 3.9375 + 10.5 + 13.5
45.375 ft2
Volume of Water
V = lwh
V = 6 • 2.25 • 1.25
V = 16.875 ft3
Answer the following questions:
1. What relationship does the volume of the dogs' pool have with the volume of the original family pool? How does this compare to the relationship in the dimensions of the dogs' pool to the dimensions of the family pool?
2. What is the difference in volume when the pool is filled to the top versus filled to 6 inches below the top?
3. Was the amount of pool liner material representative of the lateral or surface area of a rectangular prism? Why or why not?
4. Imagine Mrs. Noether asked you to add steps to the family pool. How would adding steps affect the volume of the water? How would adding steps affect the amount of pool liner material needed? Explain why each change would take place.
