Efficient Shelf Packing Method for Books
Utilize the provided examples and methods to determine the maximum number of books that can fit on a shelf based on dimensions and arrangement. Understand the various scenarios with different book sizes and shelf lengths, optimizing space without wasting any room. The examples illustrate practical solutions to real-life spatial problems involving shelves and books.
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Presentation Transcript
Shelf Packing Real Life problems involving space and volume occur frequently. How could we figure out how many books we could fit on a shelf? What would we need to know? Length of the shelf Orientation of the books (vertical/horizontal) Width of the books
Example 1 How many books can you fit onto the bookshelf vertically? 2cm 10cm 2cm 2cm 2cm 2cm 2cm We can fit 5 books onto the shelf exactly All the space is used How can we do this without drawing out a picture every time? book book book book book 10 2 = 5 5 books can fit on the shelf shelf 10cm
Example 2 How many books can you fit onto the bookshelf vertically? 2cm 100cm This would be time consuming to continue this way 2cm 2cm b o o k b o o k 100 2 = 50 50 books can fit on the shelf shelf 100cm
Example 3 How many books can you fit onto the bookshelf vertically? 3cm 124cm 3cm 3cm b o o k b o o k 124 3 = 41.3333 41 books can fit on the shelf Remember you cant have part of a book it would fall off the edge shelf 124cm
Example 4 How many books can you fit onto the bookshelf vertically? 3cm First figure out how many can fit on one shelf 66 3 = 22 66cm 22 books can fit on one shelf 3cm 3cm b o o k b o o k We have three identical shelves 22 x 3 = 66 books in total shelf 66cm
Example 5 How many books can you fit onto the bookshelf vertically? 2cm 75 2 = 37.5 75cm 37 books can fit on one shelf 2cm 2cm b o o k b o o k We have three identical shelves 37 x 3 = 111 books in total shelf 75cm
