Question

I did all the work i just need help on answering the questions that follow. please help me

Answer 1

I have read the link, they have worked volume, area and liner area, what more is being asked? Where are the questions that follow that you are having a problem with?

Answer 2

By the way if you did the work and explanation in the ling, a very good job indeed.

Answer 3

thank you very much.i'll post the questions and the images so yu dont have to go back and forth

Answer 4

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 5

Step 2: The Dog’s Pool

Volume of Pool

V = lwh
V = 7.5 • 2.75 • 2.25
V = 46.40625 ft3


Amount of Pool Liner

Area of Base + Area of Left Side + Area of Right Side + Area of Front Side + Area of Back Side

(7.5 • 2.75) + (2.75 • 2.25) + (2.75 • 2.25) + (7.5 • 2.25) + (7.5 • 2.25)
15.625 + 6.1875 + 6.1875 + 16.875 + 16.875
66.75 ft2

Volume of Water

V = lwh
V = 7.5 • 2.75 • 1.75
V = 36.09375 ft3

Answer 6

Step 1: The Family Pool

Volume of Pool
V = lwh
V = 30 • 11 • 9
V = 2,970 ft3

Amount of Pool Liner

Area of Base + Area of Left Side + Area of Right Side + Area of Front Side + Area of Back Side

(30 • 11) + (11 • 9) + (11 • 9) + (30 • 9) + (30 • 9)
330 + 99 + 99 + 270 + 270
1,068 ft2

Volume of Water

V = lwh
V = 30 • 11 • 8.5
V = 2,805 ft3

Answer 7

In computing volume, are we to still fill the pool within 6 " of the top. I see that you did so I guess that is correct. So it wants the relationship. Note the dimensions of the dog pool is 1/4 th the dimensions of the people pool.

The relationship of the volumes with each pool filled to within 6 inches you have calculated
2970/36.093 or approx 82.287 to 1

Answer 8

while looking at the dimensions it would be 64 to 1 (no considering the 6 inches)

Answer 9

Part 2. the difference for the people pool would be 30*11*.5=165 cubic feet more water.
The difference for the dog pool would be 7.5*2.75*.5=10.3125 cubic ft more water. (When pool is filled to top)

Answer 10

Part 3. Lateral area, but rather than excluding the base, we exclude the top.

Answer 11

so ok part one is for question one n part 2 is for question 2 and part 3 is for question 3 ?

Answer 12

yes

Answer 13

ok.

Answer 14

Part 4. Adding steps would reduce the volume of water in the pool by the amount of the volume of the steps.

Answer 15

How would adding steps affect the amount of pool liner material needed?

Answer 16

Well that is a good question, the end without the steps would of course be unaffected. The material on the sides would be reduced on each side because of the steps. In the original 20 X 20 X 6 the two sides would be reduced from 120 sq ft per side to 105 sq ft per side.
The bottom area in order to cover the steps and the bottom would increase to
6 X 26=156 or increased of 36 square ft so it would appear steps would increase the area of liner needed but not very much

Answer 17

In the original pool steps only increased the liner material by 6 sq ft I would like to feel more confident about that, maybe someone else will double check this.

Answer 18

ok n.p

Answer 19

thanks @radar

Answer 20

You are welcome, and good luck with that.