Question

if a pool has to hold 2000ft3 gallons of water how tall should it be (between 6-10 feet) and what would the dimensions be ?

Answer 1

SOMEONE PLEASE HELP !

Answer 2

@dpaInc

Answer 3

@dumbcow

Answer 4

Does the problem specify the shape of the pool?

Answer 5

no

Answer 6

@experimentX

Answer 7

IT CAN BE ANY SHAPE

Answer 8

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 6-10 feet deep. Other than those specifications, you are free to design the pool how you'd like!

Answer 9

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. Determine the following:

The dimensions for the Noether 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
*Please include the work involved in determining the above measurements or an explanation for how the measurements were determined.

Answer 10

Mrs. Noether is a smart lady. She gave you a problem with more than one correct answer. What math class is this?

Answer 11

GEO

Answer 12

can you please help

Answer 13

I think that a rectangular prism is the easiest to deal with. What is the formula for the volume of a rectangular prism?

Answer 14

volume=length*width*height

Answer 15

Correct. So pick a number for height.

Answer 16

umm 8 ?

Answer 17

Sure that works. According to your problem it has to be between 6 and 10 feet deep.

Answer 18

Now pick a length.

Answer 19

12?

Answer 20

Sounds great to me. What about a number for volume?

Answer 21

umm 16?

Answer 22

Mrs. Noether wants the pool to hold between 1400 ft3 and 3200 ft3 of water

Answer 23

would a volume of 16 meet specifications?

Answer 24

no would 2000ft3 fit though?

Answer 25

Is it between 1400 adn 3200 cubic feet? I think so.

Answer 26

i think it is

Answer 27

Don't think. know! Yes, 2000 is between 1400 and 3200. =)

Answer 28

Alright now let's go back to the equation and look at the info you've picked out.

Answer 29

:) okay so what do i do next ?

Answer 30

Fill in the blanks.

V = l * w * h

V = ?
l = ?
h = ?
w = ?

Answer 31

V = 2000FT3

L=12

H=8

W= idk

Answer 32

Great! We don't know the width. So, how do we figure it out?

Answer 33

umm multiply 12x8 andd divide that by 2000ft3 ?

Answer 34

bingo! then you'll have the dimension to the pool that YOU designed!

Answer 35

okay so V= 2000FT3 ,
L=12
H=8
W= 20.83333 ?

Answer 36

Yep! I think you can figure out the rest.

Answer 37

noo , wait how much of that liner would i need ?

Answer 38

why type of measurement would we use for a liner? area, or volume?

Answer 39

*why = what

Answer 40

area ?

Answer 41

you're on the right track. Why do you say area? what key words make you think that?

Answer 42

because if ur lineing something wouldnt you need to know the area on what to line ?

Answer 43

alright! yes, you get it. how many faces of the prism will you cover with liner?

Answer 44

well since its a pool i would have to cover the sides and bottom so 3 ?

Answer 45

there are more than 2 sides to a pool...

not my best prism...anyways, there a bottom and how many side?