How much do 20 gallons of water weigh

How much do 20 gallons of water weigh, given that water has a density of 1 g/mL, that 1 gal = 3.7854 L, and 456 g = 1 lb.

The Correct Answer and Explanation is :

The weight of 20 gallons of water is approximately 166.03 pounds.

Explanation:

1. Density of Water: Water has a density of 1 g/mL, meaning 1 milliliter (mL) of water weighs 1 gram (g).
2. Converting Gallons to Liters: Since 1 gallon equals 3.7854 liters, we can convert the 20 gallons of water into liters:
   [
   20 \, \text{gallons} \times 3.7854 \, \text{liters/gallon} = 75.708 \, \text{liters}
   ]
3. Converting Liters to Milliliters: 1 liter is equal to 1000 milliliters, so:
   [
   75.708 \, \text{liters} \times 1000 \, \text{mL/liter} = 75,708 \, \text{mL}
   ]
4. Calculating Grams of Water: Since the density of water is 1 g/mL, the weight of 75,708 mL of water is 75,708 grams.
5. Converting Grams to Pounds: Using the conversion factor of 456 grams per pound:
   [
   \frac{75,708 \, \text{grams}}{456 \, \text{grams/pound}} \approx 166.03 \, \text{pounds}
   ]

Thus, the total weight of 20 gallons of water is approximately 166.03 pounds.