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!