leo4687
28.01.2020 •
Mathematics
Hardy is packing his book collection into a box. each book measures 4inches by 6 inches by 1 inch. the box he uses measures 24 in by 24in by 8in.
if hardy fills the box completely, what is the greatest number of books that fit into the box?
if hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
to fill the box completely, hardy places 8 layers of books in the box. there are (blank) books in each layer.
you in advance for the ! just a mom who hates math trying to her kid with volume.
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Ответ:
1. 192 books.
2. 96 books.
3. 24 books.
Step-by-step explanation:
1. Let's find the volume of each book and the volume of the box, this way:
Volume of a book = 4 * 6 * 1 = 24 inches ³
Volume of the box = 24 * 24 * 8 = 4,608 inches ³
2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?
Greatest number of books = Volume of the box/Volume of a book
Greatest number of books = 4,608/24
Greatest number of books = 192
3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.
Greatest number of layers = Height of the box/Width of a book
Greatest number of layers = 8/1 = 8
Minimum number of layers = Height of the box/Height of a book
Minimum number of layers = 8/4 = 2
Upon saying that, we have:
Number of books per layer = Greatest number of books/Minimum number of layers
Number of books per layer = 192/2 = 96
4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.
Number of books per layer = Greatest number of books/Number of layers
Number of books per layer = 192/8
Number of books per layer = 24
Note: Same answer to question 14559894, answered by me today.
Ответ:
very much welcomed
Step-by-step explanation:
hope this helps