More question to "using math to build a swimming pool"

[dome661]

The pool design is: Rectangular, 25 meters long and 15 meters wide.



Question:

1. What is the surface area of the pool?
Im not sure if they're asking for the area of the shape of water.

5. What is the area of the bottom of the pool?
Would it be 10+10+5 multiply by 7.

6. How many cubic meters of water are you going to need to fill the pool? (In other words,
what is the volume of the pool?) So the volume is length times the width times the height. Im not sure how to get the surface area of the pool which is, I think i area of the shape of water. But to find the volume do I add all the areas that I found? The area the I found so far are : The area of the end wall at the shallow end of the pool is 15 and the area of the end wall at the deep end of the pool is 90 and the area of one of the side walls of the pool is 100 meters.

7. You have picked out a blue tile to cover the bottom and sides of the pool. Each tile is 25
centimeters on a side. How many of them does it take to cover a square meter?
So do I have to convert the 25 centimeters which = 0.25 meters. Now I multiply 0.25 meters by 100 meters( One of the area I found). Then multiply 0.25 by the area of the bottom of the pool(question 5). Then add both the number up.

8. How many tiles will it take to cover the sides and bottom of the pool?
For this one, I have to do something with question 7.

9. Each tile costs $1.25. How much will it cost to cover the sides and bottom of the pool with the blue tiles?
I first add 100(area of one of the side of the pool) to the area of the bottom of the pool(question 5). Then multiply or divide it by 1.25.

10. The excavator contractor charges by the cubic meter of earth they remove. They charge $100 for each cubic meter of dirt. How much will it cost to dig the pool?
do you multiply 100 by the surface area in question 1.

11. How many gallons of water will it take to fill the pool?
The metric system unit for volume is liter. It take 1000 liters to fills a cubic meters with water. And there are about 4 liters in a gallon.
I would multiply 4 by the volume of the pool(question 6).

 

[HallsofIvy]

The pool design is: Rectangular, 25 meters long and 15 meters wide.

Question:

1. What is the surface area of the pool?

That is different from the question you had before which was "What is the area of the surface of the pool?" Dp you see the difference?

Im not sure if they're asking for the area of the shape of water.

I would interpret "surface of the pool" as the surface of the water. But I would interpret "surface area of the pool" as the total area of bottom and sides.

5. What is the area of the bottom of the pool?
Would it be 10+10+5 multiply by 7.

Where did you get "7"? In your picture there are two flat sections of the pool, of 10 m and 5 m length. The middle part is NOT 10 m long. It is the hypotenuse of a right triangle with legs of length 10 m (horizontally) and 5 m (vertically) and so has length \(\displaystyle \sqrt{125}= 5\sqrt{5}\). But the width of each is 15m, not 7.

6. How many cubic meters of water are you going to need to fill the pool? (In other words,
what is the volume of the pool?) So the volume is length times the width times the height.

No, it isn't. That is the volume of a "rectangular solid" but this is not a rectangular solid. Again, you need to break it into three parts. Two of them are "rectangular solids": the first has length 10 m, width 15 m, and height 6m. The last has length 5 m, width 15 m, and height 1 m. In between is a solid which has sides in the shape of a trapezoid with two bases of length 6 m and 1 m and "height" 10 m. The area of such a trapezoid is 10(6+ 1)/2= 5(7)= 35 sq m and its volume is that times the width of 15 m.

Im not sure how to get the surface area of the pool which is, I think i area of the shape of water. But to find the volume do I add all the areas that I found?

No, "volume" is not a sum of areas! Even the units are different- the volume is in "cubic meters" and the area in "square meters".

The area the I found so far are : The area of the end wall at the shallow end of the pool is 15 and the area of the end wall at the deep end of the pool is 90 and the area of one of the side walls of the pool is 100 meters.

The numbers are correct but the units are square meters, not meters!

7. You have picked out a blue tile to cover the bottom and sides of the pool. Each tile is 25
centimeters on a side. How many of them does it take to cover a square meter?
So do I have to convert the 25 centimeters which = 0.25 meters. Now I multiply 0.25 meters by 100 meters( One of the area I found). Then multiply 0.25 by the area of the bottom of the pool(question 5). Then add both the number up.

I suggest you go back and read the problem again! It does NOT ask for the number of tiles to cover the pool, it asks for the number of tiles to cover "a square meter".

8. How many tiles will it take to cover the sides and bottom of the pool?
For this one, I have to do something with question 7.

Yes, once you know how many tiles are required to cover one square meter, mutiply that by the total area of the pool.

9. Each tile costs $1.25. How much will it cost to cover the sides and bottom of the pool with the blue tiles?
I first add 100(area of one of the side of the pool) to the area of the bottom of the pool(question 5). Then multiply or divide it by 1.25.

Once you know how many tiles are required (from question 8), multiply by $1.25.

10. The excavator contractor charges by the cubic meter of earth they remove. They charge $100 for each cubic meter of dirt. How much will it cost to dig the pool?
do you multiply 100 by the surface area in question 1.

No, "cubic meters" measure volume, not area. Multiply the volume, that you calculate in problem 6, by $100.

11. How many gallons of water will it take to fill the pool?
The metric system unit for volume is liter. It take 1000 liters to fills a cubic meters with water. And there are about 4 liters in a gallon.
I would multiply 4 by the volume of the pool(question 6).

 

[DrPhil]

The pool design is: Rectangular, 25 meters long and 15 meters wide.

Question:

1. What is the surface area of the pool?
Im not sure if they're asking for the area of the shape of water.

The surface area of a pool refers to the top area exposed to air. How much water area do you see from outside?

5. What is the area of the bottom of the pool?
Would it be 10+10+5 multiply by 7.

Why 7? the width is 15 m.
The middle part has a slanted bottom, and 10 m is the horizontal projection. You need the slant length to calculate the total area.

6. How many cubic meters of water are you going to need to fill the pool? (In other words,
what is the volume of the pool?) So the volume is length times the width times the height. Im not sure how to get the surface area of the pool which is, I think i area of the shape of water. But to find the volume do I add all the areas that I found? The area the I found so far are : The area of the end wall at the shallow end of the pool is 15 and the area of the end wall at the deep end of the pool is 90 and the area of one of the side walls of the pool is 100 meters.

The Area of a side (100 m^2, not m) is constant going across the pool. You can find the Volume by multiplying that constant Area (m^2) times width (m) to get (m^3).

7. You have picked out a blue tile to cover the bottom and sides of the pool. Each tile is 25
centimeters on a side. How many of them does it take to cover a square meter?
So do I have to convert the 25 centimeters which = 0.25 meters. Now I multiply 0.25 meters by 100 meters( One of the area I found). Then multiply 0.25 by the area of the bottom of the pool(question 5). Then add both the number up.

All this question is asking is, " How many (0.25 m) squares does it take to cover 1 m^2?" Sketch a picture if you have to.

8. How many tiles will it take to cover the sides and bottom of the pool?
For this one, I have to do something with question 7.

Add up the areas of two sides, two ends, and bottom. All of those area will be covered with tiles. Multiply m^2 by (tiles per m^2) to get number of tiles.

That's enough. I have the feeling you haven't put much THOUGHT into the questions, nor even that you have looked at the attached drawings.