Amount (Gallons)

[Guest]

A lawn measures 32 ft. x 32 ft. needs g gallons to water 1 in. Determine amount.

Not sure how to solve.

[Guest]

To determine the amount of water needed to water a lawn that measures 32 feet by 32 feet with 1 inch of water, we need to convert the lawn's area from square feet to square inches and then to gallons. Here’s the step-by-step process:

1. **Calculate the area of the lawn in square feet:**
$ \text{Area} = 32 \, \text{ft} \times 32 \, \text{ft} = 1024 \, \text{ft}^2 $

2. **Convert the area to square inches:**
Since there are 144 square inches in a square foot (12 inches × 12 inches):
$ \text{Area in square inches} = 1024 \, \text{ft}^2 \times 144 \, \text{in}^2/\text{ft}^2 = 147456 \, \text{in}^2 $

3. **Calculate the volume of water in cubic inches needed for a 1-inch depth:**
Since 1 inch of water covers each square inch of the area:
$ \text{Volume} = 147456 \, \text{in}^2 \times 1 \, \text{in} = 147456 \, \text{in}^3 $

4. **Convert the volume from cubic inches to gallons:**
There are 231 cubic inches in a gallon:
$ \text{Volume in gallons} = \frac{147456 \, \text{in}^3}{231 \, \text{in}^3/\text{gal}} \approx 638.96 \, \text{gal} $

Therefore, to water a 32 ft. by 32 ft. lawn with 1 inch of water, you would need approximately 638.96 gallons of water.