Question

A cubic foot of water is about 7.48 gallons. How many gallons of water would be needed to fill the rectangular pool to 85% capacity? Click Here for Help Video 4 feet 29 feet 11 feet The pool would require about gallons of water.

Answer 1

To determine how many gallons of water are needed to fill the rectangular pool to 85% capacity, we first need to calculate the volume of the pool in cubic feet, and then convert that volume to gallons.

The dimensions of the pool are:

- Length = 29 feet
- Width = 11 feet
- Depth = 4 feet

The volume \( V \) of the pool in cubic feet can be calculated using the formula for the volume of a rectangular prism:

\[
V = \text{Length} \times \text{Width} \times \text{Depth}
\]

Substituting the values:

\[
V = 29 \, \text{ft} \times 11 \, \text{ft} \times 4 \, \text{ft}
\]

Now calculating that:

\[
V = 29 \times 11 = 319 \, \text{ft}^2
\]
\[
V = 319 \times 4 = 1276 \, \text{ft}^3
\]

Next, we need to find out the volume needed for 85% capacity:

\[
\text{Volume at 85\%} = 0.85 \times 1276 \, \text{ft}^3 = 1084.6 \, \text{ft}^3
\]

Now, we convert cubic feet to gallons using the conversion factor of 7.48 gallons per cubic foot:

\[
\text{Gallons} = 1084.6 \, \text{ft}^3 \times 7.48 \, \text{gallons/ft}^3
\]
\[
\text{Gallons} \approx 8128.468 \, \text{gallons}
\]

Rounding to the nearest whole number, the pool would require approximately:

\[
\text{About } 8128 \text{ gallons of water.}
\]