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 94% capacity?
one side is 5 feet.
the other side is 21
and the other side is 9

Answer 1

To find out how many gallons of water are needed to fill the rectangular pool to 94% capacity, we first need to calculate the volume of the pool in cubic feet, and then convert that volume to gallons.

1. **Calculate the volume of the pool in cubic feet**:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height} = 5 \, \text{ft} \times 21 \, \text{ft} \times 9 \, \text{ft}
\]

\[
\text{Volume} = 945 \, \text{cubic feet}
\]

2. **Calculate 94% of the volume**:
\[
\text{94% of Volume} = 0.94 \times 945 \, \text{cubic feet} \approx 889.8 \, \text{cubic feet}
\]

3. **Convert cubic feet to gallons** (using the conversion factor of 7.48 gallons per cubic foot):
\[
\text{Gallons} = 889.8 \, \text{cubic feet} \times 7.48 \, \text{gallons/cubic foot}
\]

\[
\text{Gallons} \approx 6659.544 \, \text{gallons}
\]

Thus, approximately **6660 gallons** of water would be needed to fill the rectangular pool to 94% capacity.