Paper Calculator

#### Ream Weight Paperboard in Sheets

1. To find the weight (in kilograms) of a ream containing 500 sheets of a given size in inches and gram-weight.

Length (in inches) x width (in inches) x gram-weight
___________________________________________________________
3,100

2. To find the weight (in kilograms) of a ream containing 500 sheets of a given size in centimeters and gram-weight.

Length (in cm) x width (in cm) x gram-weight
___________________________________________________
20,000

3. To find the gram-weight of a ream containing 500 sheets of a given size in inches and weight (in kilograms).

Weight (in kg) per ream x 3,100
__________________________________________
Length (in inches) x width (in inches)

4. To find the gram-weight of a ream containing 500 sheets of a given size in centimeters and weight (in kilograms).

Weight (in kg) per ream x 20,000
____________________________________
Length (in cm) x width (in cm)

5. To find the total weight (in kilograms) of a reel of a given size, length and gram-weight.

Gram-weight x width (in cm) of reel x length in meter
___________________________________________________________
1, 00,000

6. To find the length in meter of a reel of a given size gram-weight and total weight (in kilograms).

Weight of reel (in kg) x 1, 00,000
____________________________________
Gram-weight x width (in cm)

7. To find the weight per ream of 480 sheets, if the weight per ream containing 500 sheets is given.

Multiply weight given by 0.96

#### Ream Weight Paperboard in Reels

1. To calculate the total length of paper in a reel in meters where the net weight of the paper in kilograms, the reel width in centimeters and the substance of the paper in     grams per square meter is known.

Weight of reel in kgs x 100000
Length of paper in meters = _____________________________________________
Reel width in cm x grams per sq. meter

FOR EXAMPLE: – The length of paper of substance 100 gsm in a reel of 75 cm width and weighing 150 kg

150 x 100000
________________  =  2000 Meters
75 X 100

2. To calculate the weight of a reel of paper in kilograms where the substance of the paper in grams per square metre, the total length of the paper in the reel and the reel width is known:

Weight of reel in kg = length in meters x reel width in cm x gsm x .00001

FOR EXAMPLE: – The weight of a reel with a total length of 1500 meters paper of 80 gsm with a reel width of 100 cm

1500 x 100 x 80 x 0.0001 = 120 kg.

3. To calculate the substance of paper in a reel where the total length of the paper in reel, width of the reel and its net weight is given

Weight of reel in kg x 100000
Substance in gsm = _____________________________________________________
Length of paper in meters x reel width in cm

FOR EXAMPLE: – The substance of paper in a reel of 250 cm width and which weighs 200 kg and contains a total length of 1000 meters of paper

200 x 100000
__________________  =  80 gsm
1000 x 250

4. To calculate the approximate number of sheets of a particular size which may be obtained from a reel of paper, the net weight of the reel and the substance of the paper being known and the width of the reel being known and the width of the reel being known and the width of the reel being equal to or exact multiple of the dimension of one side of the sheet.

Weight of reel in kg x 10000000
No. of Sheets =___________________________________________________________
Gsm x breadth of the sheets in cm x length of the sheets in cm

FOR EXAMPLE: – Approximate number of sheets of size 51 x 76 cms to be obtained from a reel of paper of 60 gsm substance and having a reel width of 255 cm and weighing 175 kg

175 x 10000000
____________________  =  7524 sheets
60 X 51 x 76

5. To find the approximate number of sheets of two different sizes to be obtained cut from a reel, the sizes filling the complete deckle (trimmed).

First the proportion of the deckle (trimmed) utilised to obtain the two different sizes is to be found out and consequently the proportion of the weights of the reel to get    the two sizes equivalent to the above proportion of the reel utilised to get the two sizes is obtained and the approximate number of sheets for each size is then calculated from the previous formula No. 4, the substance of the paper being known.

FOR EXAMPLE: – To fill a deckle (trimmed) of 188 cm a reel of paper of 80 gsm substance is cut into proportions of 2 x 56 cm and 1 x 76 cm to obtain paper of two different sizes of 56 x 91 cm and 76 x 102 cm. Find out the approximate number of sheets of the two sizes obtained by cutting the full reel into sheets, the weight of the reel being 376 kg. Portions of the deckle utilised for sizes 56 x 91 cm and 76 x 102 cm are respectively.

2 x 56                            1 x 76
________         And         ________
188                                188

Therefore weight of the portion of the reel utilised for the size 56 x 91 cm is

376 x 2 x 56
_____________   =  224 kg.
188

and the weight of the portion of the reel utilised for the size 76 x 102 cm is

376 x 1 x 76
_____________  =  152 kg.
188

Approximate number of sheets for size 56 x 91 cm

224 x 10000000
_________________  =  5494 sheets.
80 x 56 x 91

Approximate number of sheets for size 76 x 102 cm

152 x 10000000
_________________  =  2450 sheets.
80 x 76 x 102

N.B.: –  For any specifications given in inches, first we should convert into cm by multiplying by 2.54 for getting the correct result.

i.e., if the size is 18″ (length) x 23″ (breadth) the sizes are to be converted as 18″ x 2.54 = 45.7 cm and 23″ x 2.54 = 58.4 cm and then only other multiplications are to be computed as above.