Grammage is the mass per unit area of paper. Suppose an office printer paper has a grammage of 80 grams per square meter.

a. A single sheet of letter size paper measure 216mm by 280mm. Express the area of one sheet of paper in square meters.
b. What is the mass of a single sheet of letter size printer paper?
c. A single ream of paper contains 500 sheets. What is the total mass of the ream?

Respuesta :

Answer:

a)

0.216 m * 0.280 m = 0.06048 m^2

b)

0.06048 m^2 * 80 g/m^2 = 4.8384 g

c)

4.8384 g * 500 = 2419.2 g = 2.4192 kg

The area of one sheet of paper is 0.06048 square meters,  mass of a single sheet of letter size printer paper is 4.8384 grams and mass of single ream of paper is 2419.2 grams.

What is grammage?

The grammage is the weight of a paper. This is expressed as the gram per square meter. Grammage is the mass per unit area of paper.

Let an office printer paper has a grammage of 80 grams per square meter.

Now a single sheet of letter size paper measure 216mm by 280mm. Thus, the dimensions of paper are,

Length=216 mm =0.216 m

Width=280 mm =0.280 m

The area of one sheet of paper in square meters is,

Area = Length x Width

Area= 0.216 x 0.280

Area=0.06048.

The mass of a single sheet of letter size printer paper is,

Mass=0.06048*80

Mass=4.8384 grams.

A single ream of paper contains 500 sheets, when the mass of one sheet is 4.8384 grams, is,

Mass (rim)=500* 4.8384

Mass (rim)=2419.2 grams

Thus, the area of one sheet of paper is 0.06048 square meters,  mass of a single sheet of letter size printer paper is 4.8384 grams and mass of single ream of paper is 2419.2 grams.

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