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Problem 25 Easy Difficulty

(II) Estimate how many books can be shelved in a collicge library with 3500 $\mathrm{m}^{2}$ of floor space. Assume 8 shelves high, having books on both sides, with corridors 1.5 $\mathrm{m}$ wide.
Assume books are about the size of this onc, on average.


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Video Transcript

Okay, so here we can say that the textbook is approximately 25 centimeters deep and five centimeters wide. This is given we can, uh we know that with books on both sides of the shelf, the shelf would need to be about 50 centimetres deep and again if the aisle is only 1.5 meters wide, then we know that about 1/4 of the floor space is covered by shelving. So we can say that the total number of books on a single shelf level would be one multiplied by 3500 meters squared, multiplied by one book divided by the area that it takes, and so point to five meters multiplied by 0.5 meters. And then we can say that this is going to equal 7.0 times 10 to the fourth books, uh, on any single self so and we can say, with eight shelves of books, that means that the total number of books would simply be equal to 7.0 times 10 to the fourth books and we can say per shelf multiplied by eight shelves. And this is giving us six times 10 to the fifth books approximately. This is our final answer. That is the end of the solution. Thank you for watching

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