Final answer:
To estimate the number of books that can fit into a cubic box, calculate the volume of the box and one book, then divide the box's volume by the book's volume. A 1 m3 box can hold approximately 324 books of size 22 cm by 28 cm by 5 cm.
Step-by-step explanation:
To estimate how many books with the size of 22 cm by 28 cm by 5 cm fit into a cubic box with a side of 1 meter (100 cm), we must first calculate the volume of both the box and the books.
The volume of the cubic box is Vbox = s3, where s is the side length of the box. Since the side of the box is 1 meter, which is 100 cm, the volume of the box is Vbox = 100 cm × 100 cm × 100 cm = 1,000,000 cm3.
The volume of one book is Vbook = length × width × height = 22 cm × 28 cm × 5 cm = 3,080 cm3. To find how many books can fit inside the box, divide the volume of the box by the volume of one book: number of books = Vbox / Vbook = 1,000,000 cm3 / 3,080 cm3 ≈ 324.68.
Since you can't have a fraction of a book in physical terms, the estimated maximum number of books that can fit into the box is 324 books.