Weight of 500 sheets of A4 paper?

Answer 1

That depends upon the density of the paper.

16 sheets of A4 paper make exactly 1 sq m.

Manufacturers make paper in varying thickness as specified by the density in grams per square metre (gsm). The usual densities are 60 gsm, 70 gsm, 80 gsm, 90 gsm. These lead to weights of:

60 gsm → 500 x 60/16 = 1875 g = 1.875 kg = 1 7/8 kg

70 gsm → 500 x 70/16 = 2187.5 g = 2.1875 kg = 2 3/16 kg

80 gsm → 500 x 80/16 = 2500 g = 2.5 kg = 2 1/2 kg

90 gsm → 500 x 90/16 = 2812.5 g = 2.8125 kg = 2 13/16 kg

Answer 2

A4 is approximately 297 mm by 210mm and has an area of exactly 1/16 sq m = 0.0625 sq m = 625 sq cm

The A series of paper is based on the fact that they all have the same ratio of width to length. Also for the next size up:

1) its width is half the previous size's length;

2) its length is the previous size's width; and, thus

3) its area is exactly half that of the previous size.

A0 was chosen so that its area is exactly 1 sq m. From the above

A0 has size length by width = √√2 m by 1/√√2 m = √√2 m by (√√8)/2 m ≈ 1.189 m by 0.841 m = 1189 mm by 841 mm

In general, for size An:

* where n is even (A0, A2, A4, ...), ie n = 2k for k = 0, 1, 2, ...: An has size (√√2)/(2^k) m by (√√8)/(2^(k+1) m

* where n is odd (A1, A3, A5, ...), ie n = 2k - 1 for k = 1, 2, 3, ...: An has size (√√8)/(2^k) m by (√√2)/(2^k) m

* area = (1/2)^n sq m

Thus for A4: 4 = 2x2 → the size is (√√2)/(2^2) m by (√√8)/(2^(2+1)) m = (√√2)/4 m by (√√8)/8 m ≈ 0.297 m by 0.210 m = 297 mm by 210 mm

Area = (1/2)^4 sq m = 1/16 sq m = 0.0625 sq m = 625 sq cm.

Answer 3

The weight of 500 sheets of A4 paper would depend on the paper's weight, expressed in grams per square meter (gsm). For standard office paper weighing 80 gsm, 500 sheets of A4 paper would weigh around 2.5 kilograms.

Answer 4

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