Question

After you present the plans to the Noethers, Mrs. Noether loves your drawing so much that she wants you to create a similar pool for the family dogs. She wants the dimensions of this pool to be one over four the dimensions of the family pool.

Determine the following:

The dimensions for the dog pool that fit the above specifications
The amount of pool liner material that will be needed to completely line the inside of the pool (sides and bottom)
The amount of water that will be needed to fill the pool if the water needs to be 6 inches below the top of the pool

Answer 1

Please help I am confused

Answer 2

20 ft long, 10 ft wide and 10 ft deep is the original

Answer 3

I did everything except the last part 3

Answer 4

The amount of water that will be needed to fill the pool if the water needs to be 6 inches below the top of the pool

Answer 5

The measure of the dog pool is 5 ft long 2.5 ft wide and 2.5 ft high

Answer 6

I got 25 for the last part

Answer 7

Now as the question says it has to be 6 inches below the top of the pool, that is 2.5ft-6 inches.. convert inches to ft, and then multiply length*width*height to find the volume of water.

Answer 8

But it isn't in proportion to the originals volume which is 1900ft^3

Answer 9

Why does it have to be? There is no condition like that?

Answer 10

It's on another part I'll show you

Answer 11

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?
What is the difference in volume when the pool is filled to the top versus filled to 6 inches below the top?
Was the amount of pool liner material representative of the lateral or surface area of a rectangular prism? Why or why not?
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 12

I answered all but the first

Answer 13

so you need to find the original volume of the family pool, and the volume of the dog pool and find there ratio.

Answer 14

I found the original

Answer 15

1900

Answer 16

now find the volume of the dog pool and divide them.

Answer 17

76

Answer 18

I know that's wrong

Answer 19

It should be 64

Answer 20

Check your calculations again. I dont see any problem with our method.

Answer 21

What did you get?

Answer 22

I didnt solve.

Answer 23

Got the same answer

Answer 24

ANYONE HELP??????????

Answer 25

1. 5 ft x 2.5 ft x 2.5 ft

Answer 26

Why 1.5?

Answer 27

No. Question 1.: 5 ft x 2.5 ft x 2.5 ft

Answer 28

Oh okay gotcha

Answer 29

I understand it now

Answer 30

Just had to sit on it for a while

Answer 31

2. SA = 5 x 2.5 + 2 x 2.5 x 2.5 + 2 x 5 x 2.5 = 50 ft^2