To convert GSM (grams per square meter) to kilograms, you need additional information such as the dimensions (length and width) and the number of sheets/items. GSM is a measure of paper density, not weight, so it needs to be combined with surface area to calculate the total weight.
Here's the breakdown of how to calculate the total weight in kilograms:
1. Understand GSM:
- GSM stands for grams per square meter. It represents the weight of one square meter of the material.
2. Determine Dimensions:
- You need the length and width of the paper or material. These dimensions must be in the same units (e.g., centimeters, meters).
3. Calculate the Area:
- Multiply the length by the width to get the area. For example, if length = 100 cm and width = 50 cm, then area = 100 cm * 50 cm = 5000 cm².
4. Apply the Conversion Formula:
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The basic formula to calculate the total weight in kilograms is:
Total KG = (Length (cm) × Width (cm) × GSM × Number of Sheets) / 10,000,000
- The division by 10,000,000 converts cm² to m² and grams to kilograms in one step. 10,000 cm² = 1 m² and 1000 grams = 1 kg so 10,000 * 1000 = 10,000,000
5. Example Calculation:
Let's say you have 500 sheets of paper with the following specifications:
- Length: 29.7 cm (A4 Size)
- Width: 21 cm (A4 Size)
- GSM: 80
Using the formula:
Total KG = (29.7 cm × 21 cm × 80 GSM × 500 sheets) / 10,000,000
Total KG = (249,48000) / 10,000,000
Total KG = 2.4948 kg
Therefore, 500 sheets of this A4 paper weigh approximately 2.4948 kilograms.
Summary:
To convert GSM to kilograms, you need to know the dimensions (length and width) of the material and the number of sheets/items. The formula Total KG = (Length (cm) × Width (cm) × GSM × Number of Sheets) / 10,000,000 allows you to calculate the total weight in kilograms.
