The water reservoir for a city is shaped like a rectangular prism 260 meters​ long, 80 meters​ wide, and 14 meters deep. At the end of the​ day, the reservoir is 65​% full. How much water must be added overnight to fill the​ reservoir?

To solve this problem, we need to calculate the total volume of the reservoir and then determine how much water is required to fill it to capacity based on the information provided.

### Step 1: Calculate the total volume of the reservoir
The reservoir is shaped like a rectangular prism, so the volume \( V \) is given by:

\[
V = \text{length} \times \text{width} \times \text{depth}
\]

Substituting the values:

\[
V = 260 \, \text{m} \times 80 \, \text{m} \times 14 \, \text{m} = 291,200 \, \text{m}^3
\]

### Step 2: Determine the current volume of water
The reservoir is currently 65% full, so the volume of water currently in the reservoir is:

\[
V_{\text{current}} = 0.65 \times 291,200 \, \text{m}^3 = 189,280 \, \text{m}^3
\]

### Step 3: Calculate the volume of water needed to fill the reservoir
The amount of water required to fill the reservoir is the difference between the total volume and the current volume:

\[
V_{\text{needed}} = 291,200 \, \text{m}^3 - 189,280 \, \text{m}^3 = 101,920 \, \text{m}^3
\]

### Conclusion:
To fill the reservoir, **101,920 cubic meters of water** must be added overnight.

Would you like more details or have any questions?

### Related questions:
1. What is the formula for the volume of a rectangular prism?
2. How would the problem change if the reservoir was only 50% full?
3. How do we calculate the volume if the reservoir had a different shape, such as a cylinder?
4. What would happen if the depth of the reservoir increased to 20 meters?
5. How does the percentage full affect the amount of water required?

### Tip:
Always ensure the units are consistent when calculating volume to avoid mistakes!

The water reservoir for a city is shaped like a rectangular prism 260 meters long, 80 meters wide, and 14 meters deep. At the end of the day, the reservoir is 65% full. How much water must be added overnight to fill the reservoir?

Learn how to calculate the amount of water required to fill a rectangular prism-shaped reservoir that is 65% full. This step-by-step guide uses volume formulas and percentage calculations, perfect for students in Grades 6-8.

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