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(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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Physics 101 Mechanics

Chapter 1

Introduction, Measurement, Estimating

Physics Basics

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Sheffield

Lectures

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

09:56

In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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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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