Sydney has a rectangular pool as shown in the figure. The pool is 6 feet deep throughout.

A rectangle has a length of 25 feet and height of 18 feet.

How much water is needed to fill the pool?
450 ft3
966 ft3
1,416 ft3
2,700 ft3

1 answer

To calculate the volume of the pool, we can use the formula for the volume of a rectangular prism, which is given by:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

In this case, the pool has a depth of 6 feet. The dimensions given are:

  • Length = 25 feet
  • Height (or depth) = 6 feet

However, the width of the pool is not provided in the information you included. The volume of the rectangular pool can be expressed as:

\[ \text{Volume} = 25 , \text{ft} \times \text{Width} , \text{ft} \times 6 , \text{ft} \]

To find the volume needed to fill the pool, we need the width.

If we assume the other rectangle shown (height of 18 feet) plays a part in determining the width, we can try to derive that width. However, we cannot definitively calculate the water volume without knowing the width.

For now, if we assume the width is provided in the context and is equal to the height of that rectangle (18 feet), we can compute the volume as follows:

\[ \text{Volume} = 25 , \text{ft} \times 18 , \text{ft} \times 6 , \text{ft} \] \[ \text{Volume} = 25 \times 18 \times 6 = 2700 , \text{ft}^3 \]

Thus, if the width is 18 feet, then the amount of water needed to fill the pool is:

\[ \text{Volume} = 2700 , \text{ft}^3 \]

Therefore, the answer is 2,700 ft³.