Final answer:
To convert 35.8 mi/gal to cm/mL, multiply the mileage by 160,934.4 to convert to cm, then divide by 3785.41 to convert gallons to mL, resulting in approximately 1.516 × 10^3 cm/mL in scientific notation.
Step-by-step explanation:
To convert 35.8 miles per gallon (mi/gal) to centimeters per milliliter (cm/mL), we need to use unit conversion factors for both the distances and volumes. One mile is equal to 160,934.4 centimeters (cm), and one gallon is approximately 3785.41 milliliters (mL).
The conversion from mi/gal to cm/mL involves the following steps:
- Convert miles to centimeters: 35.8 mi × 160,934.4 cm/mi.
- Convert gallons to milliliters: 1 gal/3785.41 mL.
- Combine these conversions to get the final unit of cm/mL.
The calculation then becomes:
35.8 mi/gal × (160,934.4 cm/mi) / (3785.41 mL/gal) = (35.8 × 160934.4) / 3785.41 cm/mL
Next, calculate the numerical value and express it in scientific notation:
The result is approximately 1.516 × 103 cm/mL.