a certain company makes inflatable swimming pools that come in four rectangular sizes.the length of each pool is twice the width and twice the depth.the pools are 1 foot ,2 feet,3 feet and 4 feet deep.what is the area of the surface of tge water of each swimming pool?if the pools are filled all the way to the top,what is the volume of each pool

To find the area of the surface of the water in each swimming pool, we need to calculate the area of the rectangle formed by the length and width of each pool.

Let's denote the length as L, width as W, and depth as D.

Given that the length of each pool is twice the width and twice the depth, we have the following relationships:
L = 2W
L = 2D

We are provided with the depths of the pools as 1 foot, 2 feet, 3 feet, and 4 feet.

For the first pool (1 foot depth):
Substituting D = 1 into the equation L = 2D, we get L = 2 * 1 = 2 feet.
Using L = 2W, we have W = L/2 = 2/2 = 1 foot.

The area of the surface of the water in this pool is given by L * W = 2 * 1 = 2 square feet.

Similarly, we can find the dimensions and areas for the other pools.

For the second pool (2 feet depth):
D = 2
L = 2D = 2 * 2 = 4 feet
W = L/2 = 4/2 = 2 feet
Area = L * W = 4 * 2 = 8 square feet.

For the third pool (3 feet depth):
D = 3
L = 2D = 2 * 3 = 6 feet
W = L/2 = 6/2 = 3 feet
Area = L * W = 6 * 3 = 18 square feet.

For the fourth pool (4 feet depth):
D = 4
L = 2D = 2 * 4 = 8 feet
W = L/2 = 8/2 = 4 feet
Area = L * W = 8 * 4 = 32 square feet.

Now let's calculate the volume of each pool. The volume of a rectangular pool is given by the formula V = L * W * D.

Using the dimensions we previously found:

For the first pool (1 foot depth):
V = L * W * D = 2 * 1 * 1 = 2 cubic feet.

For the second pool (2 feet depth):
V = L * W * D = 4 * 2 * 2 = 16 cubic feet.

For the third pool (3 feet depth):
V = L * W * D = 6 * 3 * 3 = 54 cubic feet.

For the fourth pool (4 feet depth):
V = L * W * D = 8 * 4 * 4 = 128 cubic feet.

Hence, the surface area of the water for each pool is: 2 sq. ft., 8 sq. ft., 18 sq. ft., and 32 sq. ft.

And the volume of each pool when filled to the top is: 2 cubic ft., 16 cubic ft., 54 cubic ft., and 128 cubic ft.