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? Click HERE for Help Video
the hight is 5 feet
the base is 28 feet
and the other side is 8 feet
(1 point)
The pool will require__ gallons of water (Round to the tenths place)
the hight is 5 feet
the base is 28 feet
and the other side is 8 feet
(1 point)
The pool will require__ gallons of water (Round to the tenths place)
Answers
GPT-4o mini
To calculate how many gallons of water are needed to fill the rectangular pool to 91% capacity, we first need to find the volume of the pool in cubic feet, and then convert that volume to gallons.
1. Find the volume of the pool:
- Volume = Length × Width × Height
- Given that the height is 5 feet, the length (base) is 28 feet, and the width is 8 feet:
\[
\text{Volume} = 28 \text{ ft} \times 8 \text{ ft} \times 5 \text{ ft} = 1120 \text{ cubic feet}
\]
2. Calculate 91% of the total volume:
\[
\text{91% of Volume} = 0.91 \times 1120 \text{ cubic feet} = 1019.2 \text{ cubic feet}
\]
3. Convert cubic feet to gallons:
- Since 1 cubic foot of water is approximately 7.48 gallons:
\[
\text{Gallons} = 1019.2 \text{ cubic feet} \times 7.48 \text{ gallons/cubic foot} \approx 7616.34 \text{ gallons}
\]
4. Round to the tenths place:
\[
7616.34 \text{ gallons} \approx 7616.3 \text{ gallons}
\]
So, the pool will require **7616.3 gallons** of water to be filled to 91% capacity.
1. Find the volume of the pool:
- Volume = Length × Width × Height
- Given that the height is 5 feet, the length (base) is 28 feet, and the width is 8 feet:
\[
\text{Volume} = 28 \text{ ft} \times 8 \text{ ft} \times 5 \text{ ft} = 1120 \text{ cubic feet}
\]
2. Calculate 91% of the total volume:
\[
\text{91% of Volume} = 0.91 \times 1120 \text{ cubic feet} = 1019.2 \text{ cubic feet}
\]
3. Convert cubic feet to gallons:
- Since 1 cubic foot of water is approximately 7.48 gallons:
\[
\text{Gallons} = 1019.2 \text{ cubic feet} \times 7.48 \text{ gallons/cubic foot} \approx 7616.34 \text{ gallons}
\]
4. Round to the tenths place:
\[
7616.34 \text{ gallons} \approx 7616.3 \text{ gallons}
\]
So, the pool will require **7616.3 gallons** of water to be filled to 91% capacity.