The unit conversion from gsm to ounces is a common conversion in the clothing industry. Gsm means “grams per square meter,” which is a metric measurement of areal (related to area) density. Converting from metric to imperial units is a common need, and converting the areal density to ounces usually means using an imperial unit for the denominator unit as well, usually square yards. To perform this conversion, it helps to know that there are 28.35 grams per ounce and 0.9144 meters per yard.
Convert the numerator unit of the gsm from grams to ounces by dividing by 28.35.
For example, 100 gsm equals 100 gram/m^2 x (1 ounce/28.35) = 3.53 ounces/m^2. Note that m^2 means “meters squared.”
Convert the denominator unit of the result of Step 1 to meters by multiplying by 0.9144^2, where the caret ^ refers to exponentiation.
For example, 3.53 ounces/m^2 x (0.9144 m/yd)^2 = 2.95 ounces/square-yard. Note that only three significant figures were retained in the end result because the starting density in gsm had only three significant figures.
Convert the denominator to any other unit by dividing twice by how many of the other units there are in a yard.
Paul Dohrman's academic background is in physics and economics. He has professional experience as an educator, mortgage consultant, and casualty actuary. His interests include development economics, technology-based charities, and angel investing.