How many 6-inch by 6-inch books can you put in a 2-foot by 2-foot container, so that it's not empty anymore?

To find how many 6-inch by 6-inch books can fit in a 2-foot by 2-foot container, let's break it down step by step:

1. Convert the dimensions of the container into inches:
   - 1 foot = 12 inches.
   - Therefore, a 2-foot by 2-foot container is:
     \[
     2 \text{ feet} = 24 \text{ inches},
     \]
     making the container's area \( 24 \times 24 = 576 \) square inches.

2. Find the area of each book:
   - Each book is 6 inches by 6 inches.
   - The area of each book is:
     \[
     6 \times 6 = 36 \text{ square inches}.
     \]

3. Determine how many books can fit:
   - Divide the area of the container by the area of one book:
     \[
     \frac{576}{36} = 16.
     \]

So, you can fit **16 books** in the 2-foot by 2-foot container.

Would you like further clarification or details on any part of the solution?

Here are five related questions to explore further:
1. What if the container's dimensions were different, say 3 feet by 3 feet?
2. How would the number of books change if the books had different dimensions, such as 8-inch by 8-inch?
3. What if the books couldn't be arranged flat and had to stand upright?
4. Could you determine the volume of books you could fit if the height of the container were given?
5. How would irregularly shaped books affect the arrangement?

**Tip:** When dealing with area and volume problems, always start by converting all dimensions to the same unit for consistency.

Discover how to calculate how many 6-inch by 6-inch books can fit in a 2-foot by 2-foot container. This problem involves area calculation and unit conversion, ideal for students in Grades 5-7.

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