What is volume in liters?
Volume is the amount of space occupied by an object or a substance. In the metric system, the standard unit of volume is the liter (L). One liter is equal to 1000 cubic centimeters (cm^3) or 1000 milliliters (mL).
Liters are commonly used to measure the volume of liquids, such as water or milk, and are also used to express the volume of larger objects, such as boxes or containers. The volume of a substance or object can be calculated by using formulas based on its shape, such as for a cube, cylinder, or sphere.
How do you calculate volume in litres?
To calculate volume in liters, you can use the following formulas for different shapes:
- Cube:
For a cube with sides of length “s”, the volume can be calculated as:
V = s^3 (cubed)
Example: If the side length of a cube is 10 cm, the volume would be 10^3 = 1000 cm^3 = 1 liter
- Cylinder:
For a cylinder with radius “r” and height “h”, the volume can be calculated as:
V = πr^2h
Example: If the radius of a cylinder is 5 cm and the height is 10 cm, the volume would be π(5^2)(10) = 157.1 cm^3 = 0.157 liters
- Sphere:
For a sphere with radius “r”, the volume can be calculated as:
V = (4/3)πr^3
Example: If the radius of a sphere is 5 cm, the volume would be (4/3)π(5^3) = 523.6 cm^3 = 0.523 liters
It’s important to note that 1 cm^3 = 1 mL = 0.001 liters. When calculating volume in liters, be sure to convert any measurements in centimetres to liters.
How do you find the volume of a box in litres?
To find the volume of a box in liters, you need to know the length, width, and height of the box and use the formula:
Volume = Length x Width x Height
The result will be in cubic units (cm^3, m^3, etc.), so you will need to convert it to liters by dividing it by 1000.
Example: If the length of a box is 20 cm, the width is 10 cm, and the height is 5 cm, the volume would be 20 x 10 x 5 = 1000 cm^3. Dividing 1000 by 1000 gives you 1 liter.
So, the volume of the box is 1 liter.
Best Ways to Calculate Volume in Litres
There are several ways to calculate volume in liters, depending on the shape and size of the object being measured. Here are some common methods:
- For rectangular objects: Measure the length, width, and height in centimeters or meters. Then, multiply the three dimensions together to get the volume in cubic centimeters or cubic meters. Finally, convert the result to liters by dividing by 1000.
- For cylindrical objects: Measure the height and radius of the base in centimeters or meters. Then, calculate the volume using the formula V = πr²h, where V is the volume in cubic centimeters or cubic meters, π is the mathematical constant pi (approximately 3.14), r is the radius of the base, and h is the height. Finally, convert the result to liters by dividing by 1000.
- For irregularly-shaped objects: If the object is irregularly shaped, you can use water displacement to calculate its volume. Fill a container with water and record the volume of the water. Then, submerge the object in the water and record the new volume. The difference between the two volumes is the volume of the object in cubic centimeters or cubic meters. Finally, convert the result to liters by dividing by 1000.
- For liquids: Measure the amount of liquid in milliliters using a graduated cylinder or measuring cup. Then, convert the result to liters by dividing by 1000.
Overall, the best way to calculate volume in liters depends on the object being measured and the available tools.
Conversion Factors for Volume Measurements
Here are some conversion factors for volume measurements:
Unit |
Equivalent measurements, |
Ounce (oz) | A fluid ounce is equivalent to 1/8 of a half-pint, 1/16 of a pint, 1/32 of a quart, or 1/128 of a gallon. In terms of milliliters, one fluid ounce is equal to 29.5735. |
Pint (pt) | A pint contains 16 ounces or two half-pints. A quart consists of 2 pints and a gallon comprises of 8 pints. A pint has a volume of 473.176 milliliters. |
Quart (qt) | A quart contains 32 ounces or 4 half-pints, and a gallon has 4 quarts. One quart equals 946.35 milliliters or 0.94635 liters. |
Gallon (gal) | One gallon is equivalent to 231 cubic inches, 128 ounces, 8 pints, or 4 quarts. Additionally, 1 gallon is equal to 3.785 liters. |
Cubic inches (in3, cub. in.) | A cube with a length of one inch on each side occupies a volume of one cubic inch. This volume is also equivalent to 16.387 cubic centimeters (cc and mL). One cubic foot contains 1728 cubic inches, and one gallon contains 231 cubic inches. |
Cubic feet (ft3, cub. ft.) | The volume of a cube with one foot on each side is equal to 1728 cubic inches or 28,316.8 cubic centimeters (cc, cm3, mL). |
Cubic yard (yd3, cub. yd.) | The volume of a cube with one yard on each side is equal to 27 cubic feet or 0.7646 cubic meters. |
Microliter (μL) | The prefix “micro” signifies a factor of 1/1,000,000, which implies that 1 microliter is equal to 0.001 milliliters. Another way to put it is that 1 milliliter is equal to 1,000 microliters. Furthermore, 1 microliter is equivalent to 0.0000338 fluid ounces. |
Milliliter (mL, cc, cm3) | The prefix “milli” implies a factor of 1/1000, which means that 1 milliliter equals 0.001 liters. Another way to express this is that 1 liter is equal to 1000 milliliters. Additionally, 1 milliliter is equal to 0.0338 fluid ounces. A milliliter is also known as a cubic centimeter (see distance units) because a cube with sides measuring 1 cm each has a volume of 1 ml. Since water has a density of 1.0, one ml of water weighs 1 gram. |
Deciliter (dl) | The prefix “deci” means one-tenth, so 1 deciliter is equivalent to 0.10 liters. It is important not to confuse this with the decaliter, which is equal to 10 liters. There are 10 deciliters in 1 liter. |
Liter (l) | One liter is the volume of a cube with sides measuring 10 cm or 1 decimeter (see distance units). In a liter, there are 10 deciliters, 1,000 milliliters, 1,000 cubic centimeters, 1.057 quarts, and 33.814 ounces. Since water has a density of 1.0, 1 liter of water weighs 1,000 grams or 1 kilogram. |
Cubic Meter (m3, m3) | The volume of a cube with sides measuring 1 meter (see distance units) is 1 cubic meter. One cubic meter is equal to 1,000 liters. Since water has a density of 1.0, 1 cubic meter of water weighs 1 metric ton, which is equal to 1,000 kilograms or 1,000,000 grams (see mass units). |
How much is 1 volume in litre?
One volume is equivalent to 1 liter.
Is volume measured in litres?
Yes, volume is commonly measured in liters, especially for liquids.
What is the volume of water?
The volume of water can vary depending on the quantity being measured. However, a common reference for the volume of water is 1 liter.
What is the volume of 2 liters of water?
The volume of 2 liters of water is 2 liters.
How much volume is 1 cm in liters? is 1 cm in liters?
One cubic centimeter (1 cm³) is equivalent to 0.001 liters or 1 milliliter.
Also Read: How to Calculate Cylinder Volume In Litres?
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How do you convert volume? - Scientific Calculators Onlinesays:
March 28, 2023 at 5:52 pm[…] Also read: How do you calculate volume in litres? […]