Question

Please someone help me with this Geometry problem, please help me understand. Thank you :)

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 the dimensions of the family pool.

THE FAMILY POOL DIMENSION IS 6X20X20
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)

Answer 1

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.

Draft a proposal for the Noethers that includes the above information along with a drawing of their dogs' pool. You may need to create more than one drawing to correctly convey your idea.

Answer 2

It will be able to hold 2400f3 of water because the volume of a rectangle =a x b x c Let's say that the lining, polymer glowing glass, costs 200$ per sq foot. (OUCH!) Use L x A to find the surface area of each individual side (we can't use the traditional internal surface area formula because we won't need tiling for the top of the pool, if you want to be able to swim, that is) 20x 6 =120 four sides of the pool so 480 Now the bottom of the pool 20x20=400 880 sqf of tiling is needed. 880 x 200(the cost of the polymer glowing glass) 176,000 dollars of tiling (you must be packin the big bucks, huh?) Okay, so how much water will it take to fill up the pool within 6 inches of the top? take 6 inches away from 6 ft. 5.5 feet. 5.5x20x20=2200 sq ft (notice for fun that as we took away 1/12 of the height, we lost 1/12 of the total sqr feet) okay, so you need to fill up 2200 sq ft of pool with water. After some cunning google use I found out that each sqr foot of pool can hold 7.5 gallons of water. 2200 x 7.481 you're gonna need 16458.2 gallons of water