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 91% capacity?
The pool will require _______ gallons of water (Round to the tenths place)
Height: 5
Width: 8
Length: 28
The pool will require _______ gallons of water (Round to the tenths place)
Height: 5
Width: 8
Length: 28
Answers
GPT-4o mini
To determine how many gallons of water would be needed to fill the pool to 91% capacity, we will first 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**:
\[
\text{Volume} = \text{Height} \times \text{Width} \times \text{Length}
\]
\[
\text{Volume} = 5 \, \text{ft} \times 8 \, \text{ft} \times 28 \, \text{ft} = 1120 \, \text{cubic feet}
\]
2. **Calculate 91% of the volume**:
\[
91\% \text{ of volume} = 0.91 \times 1120 \, \text{cubic feet} = 1019.2 \, \text{cubic feet}
\]
3. **Convert cubic feet to gallons** (using the conversion factor that 1 cubic foot = 7.48 gallons):
\[
\text{Gallons} = 1019.2 \, \text{cubic feet} \times 7.48 \, \text{gallons/cubic foot}
\]
\[
\text{Gallons} \approx 7615.536 \, \text{gallons}
\]
4. **Round to the tenths place**:
The final result rounded to the tenths place is:
\[
\text{Gallons} \approx 7615.5 \, \text{gallons}
\]
Therefore, the pool will require **7615.5 gallons** of water to fill it to 91% capacity.
1. **Calculate the volume of the pool in cubic feet**:
\[
\text{Volume} = \text{Height} \times \text{Width} \times \text{Length}
\]
\[
\text{Volume} = 5 \, \text{ft} \times 8 \, \text{ft} \times 28 \, \text{ft} = 1120 \, \text{cubic feet}
\]
2. **Calculate 91% of the volume**:
\[
91\% \text{ of volume} = 0.91 \times 1120 \, \text{cubic feet} = 1019.2 \, \text{cubic feet}
\]
3. **Convert cubic feet to gallons** (using the conversion factor that 1 cubic foot = 7.48 gallons):
\[
\text{Gallons} = 1019.2 \, \text{cubic feet} \times 7.48 \, \text{gallons/cubic foot}
\]
\[
\text{Gallons} \approx 7615.536 \, \text{gallons}
\]
4. **Round to the tenths place**:
The final result rounded to the tenths place is:
\[
\text{Gallons} \approx 7615.5 \, \text{gallons}
\]
Therefore, the pool will require **7615.5 gallons** of water to fill it to 91% capacity.