https://file.aiquickdraw.com/mathbot/file/1727150334876g91703th.jpg

The problem in the image asks to find the volume of a water container shaped like a rectangular block, given that the model's dimensions are 8 cm × 6 cm × 2 cm, and the scale is 1:100.

### Steps to solve:

1. **Model's Volume Calculation:**
   The volume \( V_{\text{model}} \) of the model is calculated by multiplying the length, width, and height of the model:
   \[
   V_{\text{model}} = 8 \, \text{cm} \times 6 \, \text{cm} \times 2 \, \text{cm} = 96 \, \text{cm}^3
   \]

2. **Scale Adjustment:**
   The scale given is 1:100, which means the actual container is 100 times larger in each dimension. Since volume scales with the cube of the scaling factor:
   \[
   \text{Volume}_{\text{actual}} = V_{\text{model}} \times (100)^3 = 96 \times 1,000,000 = 96,000,000 \, \text{cm}^3
   \]

3. **Convert to Liters:**
   Since 1 liter = 1,000 cm³, the volume in liters is:
   \[
   \text{Volume in liters} = \frac{96,000,000}{1,000} = 96,000 \, \text{liters}
   \]

So, the correct answer is **96,000 liters**, which corresponds to option **E**.

Would you like more details or further clarification? Here are five related questions to expand your understanding:

1. How do you calculate volume for different geometric shapes, such as spheres or cylinders?
2. What is the significance of using a scale in model-based problems?
3. How does volume scale with respect to changes in dimensions?
4. What are some practical applications of scaling in real-world engineering and design problems?
5. How can you convert between different units of volume, such as cubic meters to liters?

**Tip:** When working with scales in volume, always remember to cube the scale factor if the object is 3-dimensional!

Sebuah tempat air berbentuk balok dibuat model berukuran 8 cm × 6 cm × 2 cm menggunakan skala 1 : 100. Volume tempat air tersebut adalah ...

Learn how to calculate the volume of a water tank modeled as a rectangular prism, with dimensions 8 cm × 6 cm × 2 cm at a 1:100 scale. The final volume is found using a scale factor and converting cubic centimeters to liters. Perfect for Grades 7-9 math students.

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