Find the design discharge in m3/day for a surface drainage project if the width of land drained is 352 m, the length of land drained is 819 m and the drainage coefficient is 45 mm/day.

Give your answer as an integer, without units.

To calculate the design discharge for the surface drainage project, we can use the formula:

\[
Q = A \times C
\]

Where:
- \(Q\) is the design discharge (in cubic meters per day, \(m^3/day\)),
- \(A\) is the area of the land being drained (in square meters, \(m^2\)),
- \(C\) is the drainage coefficient (in meters per day, \(m/day\)).

### Step 1: Calculate the area of the land
The area \(A\) is the width of the land multiplied by the length of the land:

\[
A = 352 \, m \times 819 \, m = 288,288 \, m^2
\]

### Step 2: Convert the drainage coefficient to meters per day
The drainage coefficient is given in millimeters per day, so we need to convert it to meters per day:

\[
C = \frac{45 \, mm}{1000} = 0.045 \, m/day
\]

### Step 3: Calculate the design discharge
Now, we can calculate the design discharge by multiplying the area by the drainage coefficient:

\[
Q = 288,288 \, m^2 \times 0.045 \, m/day = 12,973 \, m^3/day
\]

So, the design discharge is:

\[
Q = 12,973
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How does the drainage coefficient affect the discharge rate in different conditions?
2. What units should you use if the drainage coefficient is given in another form?
3. How would the design discharge change if the area of land increased by 20%?
4. What is the importance of accurate land measurements in drainage projects?
5. How would you adjust the calculations for irregularly shaped land?

**Tip:** Always ensure that units are consistent when performing calculations in civil engineering projects to avoid errors.

Find the design discharge in m3/day for a surface drainage project if the width of land drained is 352 m, the length of land drained is 819 m and the drainage coefficient is 45 mm/day. Give your answer as an integer, without units.

Learn how to calculate the design discharge for a surface drainage project with given land dimensions of 352m width and 819m length, along with a drainage coefficient of 45mm/day. This guide provides a step-by-step solution for high school students, focusing on unit conversions and applying the formula Q = A × C.

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