Official websites use. Share sensitive information only on official, secure websites. Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units. The SI unit of volume is the cubic meter m 3 , which is a derived unit.
Volume is the amount of space occupied by a sample of matter. The volume of a regular object can be calculated by multiplying its length by its width by its height. Since each of those is a linear measurement, we say that units of volume are derived from units of length. The SI unit of volume is the cubic meter m 3 , which is the volume occupied by a cube that measures 1 m on each side.
This very large volume is not very convenient for typical use in a chemistry laboratory. A liter L is the volume of a cube that measures 10 cm 1 dm on each side. A smaller unit of volume that is commonly used is the milliliter mL—note the capital L which is a standard practice. A milliliter is the volume of a cube that measures 1 cm on each side. Cuboid Volume Formula Example Multiply the measurement of the length l times the width w , then times the height h. Cube Volume Formula Example Since all sides are the same measurement, it would be the measurement of any side a , or edge, cubed.
Prism Volume Formula Example Find the area of the base, then multiply the area times the height of the prism. Triangular Prism Volume Formula Example Find the area of the base b , then multiply the area times the length l between the triangular bases.
Cylinder Volume Formula Example Find the area of the circular face using pi times the radius r squared, then multiply that area times the height of the cylinder. How to Measure the Volume of Liquids Liquids are fairly simple to measure when you remember that 1, cubic centimeters equals 1 liter, and 1, liters equals 1 cubic meter. Barrel Volume Conversion Barrels can be dry barrels or fluid barrels, such as oil and water barrels.
In Europe, the term "barrel" as a unit of measure has ranged from signifying around liters to signifying around 1, liters. In the U. Gallon Volume Conversion A gallon is equal to ounces, four quarts, eight pints, and around 3. Pint Volume Conversion A pint is equal to 1 milliliter,.
Quart Volume Conversion A quart is equal to Types of Measuring Cups Measuring cups come in various sizes and can be used to measure liquid or dry goods. Types of Measuring Spoons Measuring spoons also come in various sizes and can measure dry or liquid goods. How to Measure the Volume of Gases Gases are all around us in the air, and they need to be measured too. You can multiply in which-ever order you like as it won't change the answer see our page on multiplication for more.
This basic formula can be extended to cover the volume of cylinders and prisms too. Instead of a rectangular end, you simply have another shape: a circle for cylinders, a triangle, hexagon or, indeed, any other polygon for a prism. Effectively, for cylinders and prisms, the volume is the area of one side multiplied by the depth or height of the shape.
A straight length of circular pipe has an internal diameter of 2cm and a length of 1. Calculate the volume of water in the pipe. In this example you need to calculate the volume of a very long, thin cylinder, that forms the inside of the pipe. The diameter is 2cm, so the radius is 1cm. The length of the pipe is 1. Watch out for inconsistent units! The area is in centimetres, but the length is in metres.
First convert the length into cm 1. The volume is therefore 3.
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