https://file.aiquickdraw.com/mathbot/file/17279415324186jhn13qw.jpg

The problem in the image can be summarized as follows:

- There is a library with 500 books, each with a thickness of \( 2^3 \, \text{cm} \).
- The goal is to calculate the total length of the bookshelf needed to store these 500 books.

### Step 1: Calculate the thickness of each book
The thickness of each book is given by \( 2^3 \, \text{cm} \).

\[
2^3 = 8 \, \text{cm}
\]

So, the thickness of each book is 8 cm.

### Step 2: Calculate the total length of the bookshelf
Since there are 500 books, and each book is 8 cm thick, the total length required for the bookshelf is:

\[
500 \times 8 \, \text{cm} = 4000 \, \text{cm}
\]

### Step 3: Convert to meters
Since 100 cm = 1 meter, we can convert 4000 cm to meters:

\[
4000 \, \text{cm} = 4000 \div 100 = 40 \, \text{meters}
\]

### Final Answer:
The total length of the bookshelf needed is **40 meters**.

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Do you want more details or have any questions?

Here are 5 additional related questions for practice:

1. What would the total length be if the thickness of each book were \( 2^4 \, \text{cm} \)?
2. How many books could fit on a 30-meter-long shelf if each book is 8 cm thick?
3. If the total length of the shelf was 20 meters, how many books could be stored?
4. What would be the total length if there were 1000 books, each with a thickness of 5 cm?
5. If each book had a thickness of \( 3^2 \, \text{cm} \), how long would the bookshelf be for 300 books?

**Tip:** When working with exponents, it's useful to memorize basic powers of small numbers to speed up calculations!

SMK Taruna Bhakti Depok memiliki perpustakaan, di dalam perpustakaan tersebut terdapat 500 buku yang tersusun rapi pada rak buku, setiap buku di perpustakaan tersebut memiliki tebal 2^3 cm. Berapakah panjang rak buku yang dibutuhkan untuk menyimpan 500 buku tersebut?

Learn how to calculate the total length of a bookshelf needed to store 500 books, each with a thickness of 2^3 cm. This problem involves using exponents, multiplication, and unit conversion. Suitable for students in Grades 5-7.

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