Question

How many cubic feet (ft3) are 5.02E+08 gallons (gal) of water? The density of water at ambient conditions is 1.000 g/mL.

Show all work, use unit-cancellation method is necessary, show super- and subscripts.

Answer 1

To convert gallons (gal) to cubic feet (ft³), we need to know the conversion factor between the two units. First, let's convert gallons to milliliters (mL) using the given density of water:

1 gallon (gal) = 3,785,411.784 milliliters (mL) [since 1 gallon = 3,785.411784 milliliters]

Next, let's convert milliliters (mL) to cubic feet (ft³) using the following conversion factor:

1 liter (L) = 0.0353147 cubic feet (ft³) [since 1 liter = 0.0353147 cubic feet]

Now, we can proceed with the calculation:

Given:

5.02E+08 gallons (gal)

Step 1: Convert gallons to milliliters

5.02E+08 gal * 3,785,411.784 mL/gal = 1.90065016E+15 mL

Step 2: Convert milliliters to cubic feet

1.90065016E+15 mL * (1 L / 1000 mL) * (0.0353147 ft³ / 1 L) = 6.7249726E+10 ft³

Therefore, 5.02E+08 gallons of water is equal to approximately 6.725E+10 cubic feet of water.