How do I calculate the volume of water in a swimming pool of 25m long 10m wide and uniformly varying depth of 1m to 2m?
To calculate the volume of water in a swimming pool with uniformly varying depth, we need to use the formula for the volume of a prism, which is:
V = (1/2) * h * (A1 + A2)
Where:
- V is the volume of the prism
- h is the height (depth) of the prism
- A1 is the area of the base 1
- A2 is the area of the base 2
In this case, the length of the pool is 25m, the width is 10m, and the depth varies from 1m to 2m. The area of the base is simply the length multiplied by the width, which is 25m * 10m = 250m².
The height of the prism is the average of the minimum and maximum depths, which is (1m + 2m) / 2 = 1.5m.
Plugging these values into the formula, we get:
V = (1/2) * 1.5m * (250m² + 250m²) = 625m³
Therefore, the volume of water in the swimming pool is 625 cubic meters.
Related Questions:
- How do I calculate the volume of a rectangular prism?
- Use the formula: V = l * w * h, where l is the length, w is the width, and h is the height.
- What is the formula for the area of a rectangle?
- The formula is: A = l * w.
- How do I find the average of two numbers?
- Add the two numbers together and divide by 2.
- What is the SI unit of volume?
- The SI unit of volume is cubic meters (m³).
- How many liters are in a cubic meter?
- There are 1000 liters in a cubic meter.
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