If we join all the A4 sheets used by humans in a year and make a huge sheet in the same ratio as A4, what will be the appropriate estimation for the sides of this huge sheet? The average consumption of papers per human on an average is 55 Kg. Assume the weight of a bundle of 500 A4 papers is 2 Kg. The current world population is 7.8 billion
Answers
Answer:
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Step-by-step explanation:
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Given : join all the A4 sheets used by humans in a year and make a huge sheet in the same ratio as A4, The average consumption of papers per human on an average is 55 Kg. Assume the weight of a bundle of 500 A4 papers is 2 Kg. The current world population is 7.8 billion.
To find : what will be the appropriate estimation for the sides of this huge sheet?
Solution:
population = 7.8 Billion = 7.8 * 10⁹
The average consumption of papers per human on an average is 55 Kg
Hence total consumption = 7.8 * 10⁹ * 55
= 429 * 10⁹ kg
2 Kg = 500
=> 1 kg = 250
= 429 * 10⁹ * 250
= 1,07,250 * 10⁹
= 107.25 * 10¹²
A4 Sheet size = 297 mm * 210 mm
Area = 297 * 210 mm²
= 62370 mm²
Total area = 107.25 * 10¹² * 62370 mm²
= 6.689 * 10¹⁸ mm²
1 m = 10³ mm
=> 1 m² = 10⁶ mm²
1 km² = 10⁶ m² = 10¹² m²
6.689 * 10⁶ km²
2.175 x 10³ * 3.076 10³ km²
= 2175 km x 3076 km
appropriate estimation for the sides of this huge sheet
2175 km x 3076 km
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