Question

i need a little help with this i dont understand? i am really confused and idk how to do this little help please?


You have been hired as contractors for your uncle's company. Your first day on the job you get a call from the Noether family who would like to install a pool in their backyard. Your job is to design the pool and provide some cost estimates.

The pool should be a rectangular prism. Mrs. Noether wants the pool to hold between 1400 ft3 and 3200 ft3 of water and be from 6 to 10 feet deep. Other than those specifications, you are free to design the pool how you'd like!

The

Answer 1

The estimated cost of the pool, besides labor, will come from the pool lining material that coats the inside of the pool and the amount of water needed to fill the pool. Collaborate with your partner to determine the following:
1.The dimensions for the Noether pool that fit the above specifications
2. The amount of pool liner material that will be needed to completely line the inside of the pool (sides and bottom)
3. 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
sorry it wouldnt all fit:)

Answer 2

i drew mine but this is what it looks like

Answer 3

piece of cake :)

Answer 4

ok the first thing you do is specify the depth of the pool. What do you want it to be (between 6 and 10 feet)?

Answer 5

i want it to be 10 ft exactly

Answer 6

Next the volume. How much?

Answer 7

uh you can pick i am not sure

Answer 8

Let's choose something easy. 2000ft^3.

Answer 9

ok

Answer 10

Now, the volume of such a shape is given by length(l) x breadth(b) x height(h)
This implies that
l x b x 10 = 2000.
or l x b = 200.
ok?

Answer 11

Now, it's just a matter of choosing two numbers such that their product is 200.
How about 20 x 10 ? sounds good right?

Answer 12

yeA

Answer 13

That then answers the first question.

Answer 14

so 10 is the length and 20 is the breadth? what is 200?

Answer 15

and what is the height of the pool ?

Answer 16

if you scroll up, you'll see that 200=lxb.
You want me to summarize what we've done so far?

Answer 17

please i suck at this

Answer 18

Ok then.
You are the architect. So you're in control of a couple of things:
1. Volume of the pool
2. It's height.

So, you *chose* the volume of the pool to be 2000 ft^3. And you *chose* it's height to be 10 ft.
Next you wondered "What should the length and breadth of the pool be, given the above two constraints?"

You put this into an equation and ended up with l x b =200 (scroll up to see how.)

Answer 19

Now, again, you're free to choose the length & breadth of the pool as long as their product is 200. So, we *chose* 20 for length and 10 for *breadth*. Have I cleared things up?

Answer 20

yea i think i got it sorry my wifif signal sucks

Answer 21

Np. Okay, moving on...
the dimensions of the pool are 20(l) x 10(b) x 10(depth).
You can form 5 rectangles here: 4 of em from the sides of the pool and one from the bottom.
can you tell me the dimensions of the rectangles?