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A 45-acre farm produced 255 bushels of wheat in 1 year. Use dimensional analysis to convert this rate to liters of wheat per square meter of land.

Options:
1) 20.27
2) 99.9
3) 0.05
4) 808,102.6

Answer :

Final answer:

The production rate of the 45-acre farm that produced 255 bushels of wheat is approximately 0.05 liters per square meter. This is found by using dimensional analysis to convert acres to square meters and bushels to liters and then dividing the total liters by the total square meters. option 3.

Explanation:

Dimensional analysis can be used to convert agricultural production from acres to square meters, and bushels to liters. First, we need to convert acres to square meters: there are approximately 4046.86 square meters in an acre, hence a 45-acre farm is about 181,209 square meters (45 x 4046.86). Secondly, we convert bushels to liters: there are approximately 35.239 liters in a bushel, hence 255 bushels are approximately 8985.995 liters (255 x 35.239).

Now we can find out the production rate in liters per square meter. We just have to divide the total liters produced by the total square meters of land, i.e., 8985.995 liters / 181,209 square meters. The solution to this division is approximately 0.05 liters/square meter. So, option 3 is the correct answer.

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