This is a common fact that we need to convert fabric length from one unit to another. We may need to convert fabric price from one unit to another. In your case you have got fabric price per yard and you need to know the price of same fabric per Kg.
Basically we have to convert fabric length (i.e. in yard) into weight. To calculate fabric weight of certain length we need following information
- Fabric length,
- Fabric width and
- Fabric GSM
You already have data for all these parameters. So we can calculate fabric price per kg in some steps. Go through the following steps.
Step#1: Unit conversion
You have fabric length in yard. Convert yard into meter.
Yard to meter conversion: 1 yard=0.9144 meter
You have fabric width in inch. Convert inch into meter.
Inch to meter conversion: 1 inch = 0.0254 meter
Step#2: Calculate fabric area of one yard in square meter
Area = (Length * Width)
= 1 yard * 60 inch
= 0.9144 meter X 60*0.0254 meter
= 1.3935 square meter
This is the fabric area in square meter
Step#3: Weight calculation from length
Weight of the fabric = Fabric area * GSM
Here calculated area = 1.3935 and
Fabric GSM =140
Fabric weight = 1.3935 * 0.140 kg
= 0.195 Kg
Step#4: Calculate price per Kg
Fabric price for 1 yard (i.e. 0.9144 meter) length and width 60 inch is $ 1.28
We can say at $ 1.28 you will get 0.195 kgs fabric.
Therefore fabric price per kg will be= $1.28/0.195 = $ 6.56