Question

In countries that use the metric system of measurement, corn yields are sometimes expressed in quintals per hectare (q/ha) instead of bushels per acre (bu/ac). 1 quintal = 220.462 lbs 1 bushel of corn = 56 lbs In field trials in one of these countries, a particular corn hybrid yielded 151 q/ha. What is this in bushels per acre (bu/ac)? Margin of Error: +/- 1 bu/ac

Answer 1

The answer is below

Explanation:

Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)

1 quintal = 220.462 lbs and 1 bushel of corn = 56 lbs.

151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha

But 1 hectare = 2.471 acre, hence:

33289.762 lbs/ha =
`(33289.762\ lbs)/(1\ ha*(2.471\ acre)/(1 \ ha) ) =13472.182\ lbs/acre`

Since 1 bushel of corn = 56 lbs, hence:

`13472.182\ lbs/acre=(13472.182\ lbs*(1\ bushels)/(56\ lbs) )/(acre)=240.6\ bushels/acre` = 240.6 bu/ac

For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)