For example, a cubic centimeter cm 3 would be the volume of a cube whose sides are one centimeter 1 cm in length. The metric system also includes the liter L as a unit of volume, where one liter is the volume of a centimeter cube. Small amounts of liquid are often measured in milliliters , where. Various other traditional units of volume are also in use, including the cubic inch , the cubic foot , the cubic mile , the teaspoon , the tablespoon , the fluid ounce , the fluid dram , the gill , the pint , the quart , the gallon , the minim , the barrel , the cord , the peck , the bushel , and the hogshead.
Volume and capacity are sometimes distinguished, with capacity being used for how much a container can hold with contents measured commonly in liters or its derived units , and volume being how much space an object displaces commonly measured in cubic meters or its derived units.
Volume and capacity are also distinguished in capacity management , where capacity is defined as voThe density of an object is defined as mass per unit volume. The inverse of density is specific volume. The above formulas can be used to show that the volumes of a cone , sphere and cylinder of the same radius and height are in the ratio 1 : 2 : 3 , as follows. Let the radius be r and the height be h which is 2 r for the sphere , then the volume of cone is.
The discovery of the 2 : 3 ratio of the volumes of the sphere and cylinder is credited to Archimedes. The volume of a sphere is the integral of infinitesimal circular slabs of thickness dx.
The calculation for the volume of a sphere with center 0 and radius r is as follows. The surface area of the circular slab is. The radius of the circular slabs, defined such that the x-axis cuts perpendicularly through them, is;.
Using y as the slab radius, the volume of the sphere can be calculated as. 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.
Physical Measurement Laboratory. The term unit volume refers to the volume of one something: one quart, one milliliter, or one cubic inch, for example. Every measuring system that exists defines a unit volume for that system. Then, when one speaks about the volume of an object in that system, what he or she means is how many times that unit volume is contained within the object.
If the volume of a glass of water is said to be A rope was knotted every six feet and the end was dropped over the side of the ship. You could tell how deep the water was by how many knots went under the water before the rope hit bottom. Today we just turn on an instrument and read the depth to a high level of accuracy.
Length is the measurement of the extent of something along its greatest dimension. The SI basic unit of length, or linear measure, is the meter m. All measurements of length may be made in meters, though the prefixes listed in various tables will often be more convenient.
The width of a room may be expressed as about 5 meters m , whereas a large distance, such as the distance between New York City and Chicago, is better expressed as kilometers km. Very small distances can be expressed in units such as the millimeter or the micrometer.
0コメント