A fish tank holds 35 {\rm gal} of water. Using the density of 1.0 {\rm g/mL} for water, determine the number of pounds of water in the fish tank
292 lb
To determine the number of pounds of water in the fish tank, we need to convert the volume of water in gallons to the mass of water in pounds using the given density. Here are the steps:
Step 1: Convert the volume of water from gallons to liters.
1 gallon is equal to approximately 3.785 liters.
35 gallons * 3.785 liters/gallon = 132.475 liters
Step 2: Convert the volume of water from liters to milliliters.
1 liter is equal to 1000 milliliters.
132.475 liters * 1000 mL/liter = 132,475 mL
Step 3: Convert the volume of water from milliliters to grams.
The given density of water is 1.0 g/mL.
132,475 mL * 1.0 g/mL = 132,475 grams
Step 4: Convert the mass of water from grams to pounds.
1 pound is equal to approximately 453.592 grams.
132,475 grams * 1 pound / 453.592 grams = 291.77 pounds
Therefore, there are approximately 291.77 pounds of water in the fish tank.
To determine the number of pounds of water in the fish tank, we can follow these steps:
1. Convert gallons to liters:
- 1 gallon is approximately equal to 3.785 liters.
- Multiply the number of gallons (35) by the conversion factor (3.785) to get the volume in liters.
35 gal * 3.785 L/gal = 132.475 L
2. Convert liters to milliliters:
- 1 liter is equal to 1000 milliliters.
- Multiply the volume in liters (132.475) by the conversion factor (1000) to convert it to milliliters.
132.475 L * 1000 mL/L = 132475 mL
3. Calculate the mass of water:
- The density of water is given as 1.0 g/mL.
- Multiply the volume in milliliters (132475 mL) by the density (1.0 g/mL) to get the mass in grams.
132475 mL * 1.0 g/mL = 132475 g
4. Convert grams to pounds:
- 1 pound is equal to approximately 453.592 grams.
- Divide the mass in grams (132475 g) by the conversion factor (453.592) to get the mass in pounds.
132475 g / 453.592 g/lb ≈ 292.08 lb
Therefore, there are approximately 292.08 pounds of water in the fish tank.
1 gallon of water weighs 8.34 pounds
Multiply that by 35 gallons.
You don't need the density; it is already assumed in the 8.34 lb/gallon figure.