Question

questions on bottom i need help with asap !

Answer 1

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.

Answer 2

Go in Mathematics, you'll get more people to help you out! :D

Answer 3

And these still are quite useless to this kind of question.

Answer 4

Let's take one side of the family pool, 24ft, and the corresponding side of the dog pool, 6ft.

Answer 5

Ratio Dog pool : Family pool on length would be 6 : 24 \(\rightarrow\) 1:4

Answer 6

Area would be (1:4)^2=2:16=1:8
Volume would be (1:4)^3=3:64

Answer 7

So first question, if the dog pool's volume increases of 1ft cube, family's pool would be increased of 64 ft cube.

Answer 8

2. What is the difference in volume when the pool is filled to the top versus filled to 6 inches below the top? Now you'd have to calculate.

Answer 9

3. Was the amount of pool liner material representative of the lateral or surface area of a rectangular prism? Why or why not? Yep, that's what cover the inside of the pool.

Answer 10

and finally, 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.
For sure, adding step inside would definitely decrease the amount of water the pool can hold; and this also increase the pool liner material needed;