How many cubic tanks with length 6 cm can be filled up by 5 L of water? How much water remains (in L)?

To solve this problem, we need to first determine the volume of a single cubic tank and then compare it to the total amount of water available (5 liters).

### Step 1: Calculate the Volume of a Single Cubic Tank
Given that the length of each side of the cubic tank is 6 cm, the volume of the tank is:

\[
\text{Volume of the cubic tank} = \text{side}^3 = 6^3 = 216 \text{ cubic centimeters (cm}^3\text{)}
\]

### Step 2: Convert Liters to Cubic Centimeters
Since 1 liter is equivalent to 1000 cubic centimeters:

\[
5 \text{ liters} = 5 \times 1000 = 5000 \text{ cubic centimeters (cm}^3\text{)}
\]

### Step 3: Determine How Many Cubic Tanks Can Be Filled
To find the number of cubic tanks that can be filled:

\[
\text{Number of tanks} = \frac{5000 \text{ cm}^3}{216 \text{ cm}^3} \approx 23.15
\]

Since we can only have a whole number of filled tanks, we can fill 23 tanks completely.

### Step 4: Calculate the Remaining Water
The total volume of water used to fill 23 tanks is:

\[
\text{Volume used} = 23 \times 216 = 4968 \text{ cubic centimeters}
\]

The remaining volume of water is:

\[
\text{Remaining volume} = 5000 - 4968 = 32 \text{ cubic centimeters}
\]

Convert this remaining volume back to liters:

\[
\text{Remaining water} = \frac{32}{1000} = 0.032 \text{ liters}
\]

### Final Answer
- **Number of cubic tanks that can be filled:** 23
- **Remaining water:** 0.032 liters

### Do you want more details or have any questions?

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### Related Questions:
1. How many tanks could be filled if the side length was 8 cm?
2. What if the amount of water was 7.5 liters instead?
3. How much water would remain if the tanks were half-filled?
4. What if the tank shape was a cylinder with a 6 cm diameter and height?
5. How many tanks can be filled with 10 liters of water?
6. How does changing the tank side to 10 cm affect the number of filled tanks?
7. How many tanks could be filled if 1 liter of water leaked before filling?
8. How much more water is needed to fill 24 tanks?

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**Tip:** Remember that converting units like liters to cubic centimeters is crucial for solving volume problems.

Learn how to calculate the volume of cubic tanks and determine remaining water with a detailed step-by-step solution. This problem covers key concepts such as volume calculation and unit conversion from liters to cubic centimeters. Suitable for students in Grades 6-8.

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