High School

A person owns a 184.1-acre farm, which received a total of 1.69 inches of rain. How many liters of rain would that be?

Note:
- An acre is 43,560 square feet.
- There are 2.54 cm in one inch.

Answer :

The 184.1 acre farm received approximately 32 million liters of rain.

To calculate the amount of rain in liters, follow these steps:

  1. Convert the area to square feet:
    184.1 acres × 43,560 square feet/acre = 8,022,396 square feet.
  2. Convert rain depth from inches to centimeters:
    1.69 inches × 2.54 cm/inch = 4.29 cm.
  3. Convert the area to square centimeters:
    8,022,396 square feet × (30.48 cm/foot)² = 7.45 × 10⁹ square cm.
  4. Calculate the volume in cubic centimeters:
    7.45 × 10⁹ square cm × 4.29 cm = 3.20 × 10¹⁰ cubic cm.
  5. Convert the volume to liters (1 L = 1,000 cubic cm):
    3.20 × 10¹⁰ cubic cm ÷ 1,000 = 32 million liters.

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