We appreciate your visit to Agriculture You own an empty one acre lot 640 acres 1 mi² 1 mi 5 280 ft A If 1 inch of rain fell over. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's tackle each part of this question step-by-step:
A. Cubic Inches of Water:
To find the total volume of water in cubic inches that falls on a one-acre lot when 1 inch of rain falls, we first need to understand that an acre is 43,560 square feet. Since we're dealing with 1 inch of rain over the entire acre, we calculate:
1. Convert the area from square feet to square inches:
- 1 square foot = 144 square inches (because 12 inches [tex]\(\times\)[/tex] 12 inches).
2. Find the total area in square inches for the acre:
- [tex]\(43,560 \, \text{square feet} \times 144 \, \text{square inches/square foot} = 6,272,640 \, \text{square inches}\)[/tex].
3. Since 1 inch of rain is the depth, multiply the area by 1 to get the volume in cubic inches:
- Volume = [tex]\(43,560 \times 12 = 522,720 \, \text{cubic inches}\)[/tex].
Thus, 522,720 cubic inches of water fell on the lot.
B. Cubic Feet of Water:
To convert the cubic inches to cubic feet:
1. Note the conversion: 1 cubic foot = [tex]\(12 \times 12 \times 12 = 1,728 \, \text{cubic inches}\)[/tex].
2. Divide the total cubic inches of water by cubic inches per cubic foot:
- [tex]\(522,720 \div 1,728 = 302.5 \, \text{cubic feet}\)[/tex].
Therefore, 302.5 cubic feet of water fell on the lot.
C. Weight of the Water in Pounds:
Given that 1 cubic foot of water weighs approximately 62 pounds, we calculate the total weight:
1. Multiply the volume in cubic feet by the weight per cubic foot:
- [tex]\(302.5 \, \text{cubic feet} \times 62 \, \text{pounds/cubic foot} = 18,755 \, \text{pounds}\)[/tex].
So, the water weighs roughly 18,755 pounds.
D. Gallons of Water:
To find out how many gallons of water fell on the lot:
1. Given the weight of 1 gallon of water is about 8.3 pounds, we divide the total weight by the weight of one gallon:
- [tex]\(18,755 \, \text{pounds} \div 8.3 \, \text{pounds/gallon} \approx 2,259.64 \, \text{gallons}\)[/tex].
Approximately 2,259.64 gallons of water fell on your lot.
I hope this helps you understand the calculations needed for each part! If you have further questions or need clarification, feel free to ask.
A. Cubic Inches of Water:
To find the total volume of water in cubic inches that falls on a one-acre lot when 1 inch of rain falls, we first need to understand that an acre is 43,560 square feet. Since we're dealing with 1 inch of rain over the entire acre, we calculate:
1. Convert the area from square feet to square inches:
- 1 square foot = 144 square inches (because 12 inches [tex]\(\times\)[/tex] 12 inches).
2. Find the total area in square inches for the acre:
- [tex]\(43,560 \, \text{square feet} \times 144 \, \text{square inches/square foot} = 6,272,640 \, \text{square inches}\)[/tex].
3. Since 1 inch of rain is the depth, multiply the area by 1 to get the volume in cubic inches:
- Volume = [tex]\(43,560 \times 12 = 522,720 \, \text{cubic inches}\)[/tex].
Thus, 522,720 cubic inches of water fell on the lot.
B. Cubic Feet of Water:
To convert the cubic inches to cubic feet:
1. Note the conversion: 1 cubic foot = [tex]\(12 \times 12 \times 12 = 1,728 \, \text{cubic inches}\)[/tex].
2. Divide the total cubic inches of water by cubic inches per cubic foot:
- [tex]\(522,720 \div 1,728 = 302.5 \, \text{cubic feet}\)[/tex].
Therefore, 302.5 cubic feet of water fell on the lot.
C. Weight of the Water in Pounds:
Given that 1 cubic foot of water weighs approximately 62 pounds, we calculate the total weight:
1. Multiply the volume in cubic feet by the weight per cubic foot:
- [tex]\(302.5 \, \text{cubic feet} \times 62 \, \text{pounds/cubic foot} = 18,755 \, \text{pounds}\)[/tex].
So, the water weighs roughly 18,755 pounds.
D. Gallons of Water:
To find out how many gallons of water fell on the lot:
1. Given the weight of 1 gallon of water is about 8.3 pounds, we divide the total weight by the weight of one gallon:
- [tex]\(18,755 \, \text{pounds} \div 8.3 \, \text{pounds/gallon} \approx 2,259.64 \, \text{gallons}\)[/tex].
Approximately 2,259.64 gallons of water fell on your lot.
I hope this helps you understand the calculations needed for each part! If you have further questions or need clarification, feel free to ask.
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