High School

Convert 10,000 gallons to cubic meters using the conversion factor 1 cubic meter = 264.2 gallons.

Which is the correct conversion?

A. 37.9 cubic meters
B. 264.2 cubic meters
C. 10,000 cubic meters
D. 1 cubic meter

Answer :

Final answer:

To convert 10,000 gallons into cubic meters, multiply by the reciprocal of the conversion factor, resulting in approximately a) 37.9 cubic meters.

Explanation:

To convert 10,000 gallons into cubic meters using the conversion factor of 1 cubic meter equals 264.2 gallons. To solve this, you'll multiply the number of gallons by the reciprocal of the conversion factor to get the measurement in cubic meters.

Here's the calculation: 10,000 gal × (1 cubic meter / 264.2 gal) = 37.8512 cubic meters

After rounding to two decimal places, the answer is approximately 37.85 cubic meters, which matches option (a) 37.9 cubic meters if you round to one decimal place.