Thread: Surface area and volume of swimming pool

Need help with this problem....anyone can help me??? Thanks !!!



Find the surface area and volume of swimming pool described below:

The pool is a rectangular shape: 70 ft x 140 ft
The shallow end starts at 3 ft deep and continues at this depth for 30 ft before increasing over a span of 50 feet to 10 feet deep.

Originally Posted by mommydearest11

Need help with this problem....anyone can help me??? Thanks !!!



Find the surface area and volume of swimming pool described below:

The pool is a rectangular shape: 70 ft x 140 ft
The shallow end starts at 3 ft deep and continues at this depth for 30 ft before increasing over a span of 50 feet to 10 feet deep.

The cross section is a trapezium. How would you work out its area?

Hello, mommydearest11!

Find the surface area and volume of swimming pool described below:

The pool is a rectangular shape: 70 ft x 140 ft
The shallow end starts at 3 ft deep and continues at this depth for 30 ft
before increasing over a span of 50 feet to 10 feet deep.

Code:

      : - - - - - - - 140 - - - - - - - - :
      *  *  *  *  *  *  *  *  *  *  *  *  *
     3*                                   *3
      *                A                  *
      *  *  *  *  * - - - - - + - - - - - *
      :           :   *    B  :     C     *
     7:           :       *   :           *7
      *           :           *  *  *  *  *
      : - - 30  - : - - 50  - : - - 60  - :

Surface Area

The side is composed of rectangle , triangle , and rectangle
. . Area of rectangle
. . Area of triangle
. . Area of rectangle
. . Total area of a side: . .[1]
The area of two sides is: .

The shallow end has a wall: .

The deep end has a wall: .

The "floor" is composed of three rectanges.
. . The first has area: .
. . The second has area: . .**
. . The third has area: .
Total area of the floor: .

Therefore, the total surface area is: .


The volume is easier to calculate.
The volume is the area of the side times the width of the pool.
. . And we have the area of the side at [1].




~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~


** .The second rectangle of the "floor".

The length of this rectangle is the hypotenuse
. . of a right triangle with sides 7 and 50.
Hence, the hypotenuse is:.