Converting Cubic Meters to Liters

Oct 13, 2025 by wbrum.org 96 views

Understanding the Problem

To find out how many litres of petrol a tank can hold, we need to calculate its volume. The tank's dimensions are given as 1.5m x 9m x 1.5m. We will use the formula for the volume of a rectangular prism, which is length x width x height.

Calculating the Volume

The formula for the volume of a rectangular prism is:

Volume = length x width x height

In this case, the length is 9m, the width is 1.5m, and the height is 1.5m. Plugging these values into the formula, we get:

Volume = 9m x 1.5m x 1.5m Volume = 20.25 cubic meters

Converting Cubic Meters to Liters

Since we want to find out how many litres the tank can hold, we need to convert the volume from cubic meters to litres. There are 1000 litres in 1 cubic meter, so we can multiply the volume in cubic meters by 1000 to get the volume in litres:

Volume = 20.25 cubic meters x 1000 litres/cubic meter Volume = 20,250 litres

Conclusion

Therefore, the petrol tank can hold 20,250 litres of petrol.

Additional Information

If you want to calculate the volume of a tank with different dimensions, you can use the same formula: length x width x height. Just make sure to use the correct units (e.g. metres, feet, inches) and convert the volume to the desired unit (e.g. litres, gallons).

Real-World Applications

Calculating the volume of a tank is an important task in various industries, such as:

Petroleum industry: To determine the capacity of storage tanks for petrol and other fuels.
Construction industry: To calculate the volume of concrete or other materials needed for a project.
Agricultural industry: To determine the capacity of storage tanks for fertilizers, pesticides, or other chemicals.

Tips and Tricks

Use the correct units: Make sure to use the correct units for length, width, and height when calculating the volume of a tank.
Round to the nearest whole number: If you're not sure about the exact dimensions of the tank, round the volume to the nearest whole number to get an estimate.
Use online calculators: If you're not comfortable with calculations, use online calculators to find the volume of a tank.

Common Mistakes

Forgetting to convert units: Make sure to convert the volume from cubic meters to litres if you want to find out how many litres the tank can hold.
Using the wrong formula: Use the correct formula for the volume of a rectangular prism: length x width x height.
Not rounding to the nearest whole number: If you're not sure about the exact dimensions of the tank, round the volume to the nearest whole number to get an estimate.

Conclusion

Frequently Asked Questions

Q: What is the formula for calculating the volume of a petrol tank? A: The formula for calculating the volume of a petrol tank is length x width x height.

Q: How do I convert cubic meters to litres? A: To convert cubic meters to litres, multiply the volume in cubic meters by 1000.

Q: What are the dimensions of the petrol tank in the example? A: The dimensions of the petrol tank in the example are 1.5m x 9m x 1.5m.

Q: How many litres can the petrol tank hold? A: The petrol tank can hold 20,250 litres of petrol.

Q: What are some real-world applications of calculating the volume of a petrol tank? A: Some real-world applications of calculating the volume of a petrol tank include:

Petroleum industry: To determine the capacity of storage tanks for petrol and other fuels.
Construction industry: To calculate the volume of concrete or other materials needed for a project.
Agricultural industry: To determine the capacity of storage tanks for fertilizers, pesticides, or other chemicals.

Q: What are some common mistakes to avoid when calculating the volume of a petrol tank? A: Some common mistakes to avoid when calculating the volume of a petrol tank include:

Forgetting to convert units: Make sure to convert the volume from cubic meters to litres if you want to find out how many litres the tank can hold.
Using the wrong formula: Use the correct formula for the volume of a rectangular prism: length x width x height.
Not rounding to the nearest whole number: If you're not sure about the exact dimensions of the tank, round the volume to the nearest whole number to get an estimate.

Q: Can I use online calculators to find the volume of a petrol tank? A: Yes, you can use online calculators to find the volume of a petrol tank. This can be helpful if you're not comfortable with calculations or if you want to get an estimate quickly.

Q: What are some tips for calculating the volume of a petrol tank? A: Some tips for calculating the volume of a petrol tank include:

Use the correct units: Make sure to use the correct units for length, width, and height when calculating the volume of a tank.
Round to the nearest whole number: If you're not sure about the exact dimensions of the tank, round the volume to the nearest whole number to get an estimate.
Use online calculators: If you're not comfortable with calculations, use online calculators to find the volume of a tank.

Q: Can I calculate the volume of a petrol tank with different dimensions? A: Yes, you can calculate the volume of a petrol tank with different dimensions. Just use the same formula: length x width x height, and make sure to use the correct units.

Q: What are some other formulas I can use to calculate the volume of a petrol tank? A: Some other formulas you can use to calculate the volume of a petrol tank include:

Volume = length x width x height: This is the formula for the volume of a rectangular prism.
Volume = π x radius^2 x height: This is the formula for the volume of a cylinder.
Volume = (1/3) x π x radius^2 x height: This is the formula for the volume of a cone.

Conclusion

Calculating the volume of a petrol tank is an important task in various industries. By using the correct formula and converting units, you can determine the capacity of a tank and make informed decisions. Remember to round to the nearest whole number if you're not sure about the exact dimensions of the tank.