Quickly calculate ream weight and ton ream

As a practitioner engaged in printing, publishing, and paper, it is an essential skill for every colleague to quickly calculate the ream weight and the number of reams per ton of paper. Today, Jingjiang Printing and Packaging will share with you a method to help you quickly calculate the weight of each ream of paper. and tricks of reams per ton.

A batch of books has been printed and shipped from the printing factory to the bookstore. The number of reams of this batch of books is known, but how many tonnage vehicles are needed to transport them, which involves calculating how many kilograms of paper each ream weighs. In practical work, such problems are often encountered.

Calculating the ream weight and the number of reams per ton of paper is troublesome and prone to errors. Therefore, some comrades calculate the results item by item, and then list them in a check list, which is published in relevant professional newspapers and periodicals for professional use.

Their calculation method is generally like this (take the 787×1092 specification as an example):

1) Find the area of ​​each sheet (square meters): 0.787×1.092m2

2) Find the weight of each piece of paper (kg): 0.787×1.092×gram weight÷1000

3) Find the weight of each ream (kg): 0.787×1.092×weight÷1000×500

4) Find the number of reams per ton of paper: 1000÷the weight of each ream

In order to change this tedious calculation, some transformations can be made in the above fourth formula:

Reams per ton of paper = 1000/weight per ream

Weight per ream=(0.787×1.092×gram weight)÷(1000×500)

The above formula can be written as:

Reams per ton of paper=1000/(0.787×1.092×gram weight÷1000×500)

= (1000×1000)/(0.787×1.092×500×gram weight)

= (1000×1000)/(0.787×1.092×500)

= (2327.194195) × (1/gram weight)

=2327/gram weight

Weight per ton of paper (kg) = 1000/reams per ton of paper

Reams per ton of paper = 2327÷gram weight

The above formula can be written as:

Weight per ream (kg) = 1000/(2327÷gram weight)

= (1000×gram weight)/2327

= (gram weight/2327)×1000

After such a transformation, a very useful constant is obtained: 2327.

2327÷gram weight=reams per ton of paper

Gram weight ÷ 2327×1000=weight per ream (kg)

 The result calculated by 2327 is extremely accurate, with an error of only 0.8‰.

As for the 850×1168, 880×1230, and 889×1194 sheets, the derivation methods are exactly the same, and the constants are 2015, 1848, and 1884, respectively.

As long as you remember the four constants of 2327, 2015, 1848, and 1884, it is easy to calculate the number of reams per ton of paper and the number of kilograms per ream of paper for these four specifications of paper, no matter what the gram weight (usually you can Engrave these four numbers on the back of the calculator).

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Jingjiang Printing and Packaging Co., Ltd.