SOLUTION: Please help with the homework: Justin is remodeling his garden and decides to create a simple swimming pool. He plans to dig and build out a rectangular hole and line it with spra

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Question 1196036: Please help with the homework:
Justin is remodeling his garden and decides to create a simple swimming pool. He plans to dig and build out a rectangular hole and line it with spray on cement. The dimensions of the walls are as follows: height= 1.5m, length=5m and breadth=3m.
1.1. what is the surface area of the inside of the pool?
1.2.The pool will be covered in two layers of cement.Calculate how much it would cost to line the pool if the cement cost R150.00 per square meter.
1.3. Calculate the percentage of the pool that could be filled by the water in the tank. (Remember 1m^3 =1000litres).
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


height+=+1.5m
length+=5m+
breadth+=3m+
1.1. what is the surface area of the inside of the pool?
the surface area of the inside of the pool is the area of the bottom plus the area of the sides
the area of the bottom is 2%2Alength%2Abreadth+=2%2A5m+%2A3m+=30m%5E2
the area of the two parallel sides is 2%2Alength%2Aheight+=2%2A5m+%2A+1.5m=15m%5E2
the area of the two other parallel sides is +2%2Abreadth+%2Aheight=2%2A3m%2A1.5m=9m%5E2
the surface area of the inside of the pool is
Surface Area=30m%5E2%2B15m%5E2%2B9m%5E2=54m%5E2

1.2.The pool will be covered in two layers of cement. Calculate how much it would cost to line the pool if the cement cost R150.00 per square meter.
R150.00%2A54=8100
1.3. Calculate the percentage of the pool that could be filled by the water in the tank. (Remember 1m^3 =1000litres).
volume=5m+%2A3m%2A+1.5m=22.5m%5E3
1m%5E3+=1000litres
22.5%2A1000litres=22500litres needed to fill the pool 100%
to calculate the percentage of the pool that could be filled by the water in the tank we need to know how+many+litters of water is in the tank+
you didn't provide that


Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.


        Calculations and the numbers in the post by @MathLover1 are incorrect.
        I came to bring a correct solution. 


height =  1.5m
length =  5m  
breadth = 3m 

1.1. what is the surface area of the inside of the pool?

the surface area of the inside of the pool is the area of the bottom plus the area of the sides

the area of the bottom is length*breadth = 5m*3m = 15 m^2          <<<---=== my correction is here
the area of the two parallel sides is 2*length*height = 2*5m*1.5m = 15m^2
the area of the two other parallel sides is   2*breadth*height = 2*3m*1.5m=9 m^2

the surface area of the inside of the pool is

    Surface Area = 15m^2 + 15m^2 + 9m^2 = 39m^2.  ANSWER           <<<---=== my correction is here
 

1.2. The pool will be covered in two layers of cement. Calculate how much it would cost to line the pool 
if the cement cost R150.00 per square meter.    //  I assume that R150.00 is the cost of one layer per square meter.

       R 150.00*2*39 = R 11700.                   ANSWER           <<<---=== my correction is here


1.3. Calculate the percentage of the pool that could be filled by the water in the tank. (Remember 1m^3 =1000litres).
     
     This percentage is between 0% to 100%, and can not be calculated precisely, 
     since the volume of the water in the tank is not given in the post.

Solved   (in a right way).