How to Calculate Volume in Litres
Convert the dimensions to centimeters., Find the volume of the shape., Convert cubic centimeters to liters.
Step-by-Step Guide
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Step 1: Convert the dimensions to centimeters.
If the dimensions are given in meters, inches, feet, or some other unit of measurement, convert each dimension to centimeters (cm) before calculating the volume.
This will make it easier to convert to liters.
Consider the following conversions: 1 meter = 100 centimeters.So, if the length of a cube is
2.5 meters, that converts to 2,500 centimeters, since
2.5×100=2,500{\displaystyle
2.5\times 100=2,500}. 1 inch =
2.54 centimeters.So, if the length of a cube is 5 inches, that converts to
12.7 centimeters, since 5×2.54=12.7{\displaystyle 5\times
2.54=12.7}. 1 foot =
30.48 centimeters.So, if the length of a cube is 3 feet, that converts to
91.44 centimeters, since 3×30.48=91.44{\displaystyle 3\times
30.48=91.44}. -
Step 2: Find the volume of the shape.
How you find the volume will depend on the shape of the three-dimensional object you are measuring, since the volume of each type of shape is calculated differently.
To find the volume of a cube, you can use the formula Volume=Length×Width×Height{\displaystyle {\text{Volume}}={\text{Length}}\times {\text{Width}}\times {\text{Height}}}.The volume of a three-dimensional shape will be in cubic units, such as cubic centimeters (cm3{\displaystyle cm^{3}}).
For example, if a fish tank is
40.64 cm long,
25.4 cm wide, and
20.32 tall you would calculate the volume by multiplying these dimensions together:
Volume=Length×Width×Height{\displaystyle {\text{Volume}}={\text{Length}}\times {\text{Width}}\times {\text{Height}}}Volume=40.64×25.4×20.32{\displaystyle {\text{Volume}}=40.64\times
25.4\times
20.32}Volume=20,975cm3{\displaystyle {\text{Volume}}=20,975cm^{3}} , To do this, use the conversion rate 1liter=1,000cm3{\displaystyle 1\;{\text{liter}}=1,000cm^{3}}.
Dividing the volume (in cubic centimeters) of the shape by 1,000 will give you the volume in liters (L).For example, if the volume of the fish tank, in cubic centimeters, is 20,975, to find the volume in liters, calculate 20,975÷1,000=20.975{\displaystyle 20,975\div 1,000=20.975}.
So, a fish tank that is
40.64 cm long,
25.4 cm wide, and
20.32 tall has a volume of
20.975 L. -
Step 3: Convert cubic centimeters to liters.
Detailed Guide
If the dimensions are given in meters, inches, feet, or some other unit of measurement, convert each dimension to centimeters (cm) before calculating the volume.
This will make it easier to convert to liters.
Consider the following conversions: 1 meter = 100 centimeters.So, if the length of a cube is
2.5 meters, that converts to 2,500 centimeters, since
2.5×100=2,500{\displaystyle
2.5\times 100=2,500}. 1 inch =
2.54 centimeters.So, if the length of a cube is 5 inches, that converts to
12.7 centimeters, since 5×2.54=12.7{\displaystyle 5\times
2.54=12.7}. 1 foot =
30.48 centimeters.So, if the length of a cube is 3 feet, that converts to
91.44 centimeters, since 3×30.48=91.44{\displaystyle 3\times
30.48=91.44}.
How you find the volume will depend on the shape of the three-dimensional object you are measuring, since the volume of each type of shape is calculated differently.
To find the volume of a cube, you can use the formula Volume=Length×Width×Height{\displaystyle {\text{Volume}}={\text{Length}}\times {\text{Width}}\times {\text{Height}}}.The volume of a three-dimensional shape will be in cubic units, such as cubic centimeters (cm3{\displaystyle cm^{3}}).
For example, if a fish tank is
40.64 cm long,
25.4 cm wide, and
20.32 tall you would calculate the volume by multiplying these dimensions together:
Volume=Length×Width×Height{\displaystyle {\text{Volume}}={\text{Length}}\times {\text{Width}}\times {\text{Height}}}Volume=40.64×25.4×20.32{\displaystyle {\text{Volume}}=40.64\times
25.4\times
20.32}Volume=20,975cm3{\displaystyle {\text{Volume}}=20,975cm^{3}} , To do this, use the conversion rate 1liter=1,000cm3{\displaystyle 1\;{\text{liter}}=1,000cm^{3}}.
Dividing the volume (in cubic centimeters) of the shape by 1,000 will give you the volume in liters (L).For example, if the volume of the fish tank, in cubic centimeters, is 20,975, to find the volume in liters, calculate 20,975÷1,000=20.975{\displaystyle 20,975\div 1,000=20.975}.
So, a fish tank that is
40.64 cm long,
25.4 cm wide, and
20.32 tall has a volume of
20.975 L.
About the Author
Samuel Burns
Enthusiastic about teaching lifestyle techniques through clear, step-by-step guides.
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