To determine how many 6-inch by 6-inch books can fit into a 2-foot by 2-foot container, we need to convert the dimensions of the container into inches since the books are measured in inches.

Step 1: Convert the container dimensions to inches.

• The container is 2 feet by 2 feet.
• 1 foot = 12 inches, so:
  • The container's length = $2 \times 12 = 24$ inches.
  • The container's width = $2 \times 12 = 24$ inches.

Step 2: Calculate the area of the container and the area of a book.

• Area of the container:
  $24$ inches × $24$ inches = $576$ square inches.
• Area of each book:
  $6$ inches × $6$ inches = $36$ square inches.

Step 3: Divide the container's area by the book's area to find the number of books that can fit.

• Number of books = $\frac{576 \text{ square inches}}{36 \text{ square inches}}$ = 16 books.

Conclusion:

You can fit 16 books in a 2-foot by 2-foot container without leaving any empty space.

Would you like more details, or do you have any questions?

Related Questions:

1. What if the books were of a different size, such as 8-inch by 8-inch?
2. How would the arrangement change if the books were not perfectly square?
3. What if the container had a height restriction for stacking books?
4. How many books could fit if we allowed stacking in multiple layers?
5. How would the number of books change if the container's shape was rectangular, say 2 feet by 3 feet?

Tip:

Always convert measurements to the same unit when comparing or calculating areas and volumes to avoid errors!