Volume of solid object is defined as three dimensional design of how much space it occupies and is defined numerically. Single dimensions and two dimensions shapes like straight line or square, circle, triangle have zero volume in three dimensional space.

Some basic units of volume are Cubic
Inches, Cubic Feet, Quarts, Cubic Yards, Cubic Meters, Gallons, Liters, Cubic Centimeters, Cubic Millimeter etc. SI
unit of volume is Cubic Meters.

The names of the traditional volume
units are the names of standard
containers.

Until the eighteenth century, it was very difficult to measure the capacity of a container accurately in cubic units, so the standard containers were defined by specifying the weight of a particular substance, such as wheat or beer, that they could carry. Thus the gallon, the basic English unit of volume, was originally the volume of eight pounds of wheat.

This custom led to a multiplicity of units, as different commodities were carried in containers of slightly different sizes.

Gallons are always divided into 4 quarts, which are further divided into 2 pints each. For larger volumes of dry commodities, there are 2 gallons in a peck and 4 pecks in a bushel. Larger volumes of liquids were carried in barrels, hogsheads, or other containers whose size in gallons tended to vary with the commodity, with wine units being different from beer and ale units or units for other liquids.

The situation was still confused during the American colonial period, so the Americans were actually simplifying things by selecting just two of the many possible gallons. These two were the gallons that had become most common in British commerce by around 1700. For dry commodities, the Americans were familiar with the Winchester bushel, defined by Parliament in 1696 to be the volume of a cylindrical container 18.5 inches in diameter and 8 inches deep. The corresponding gallon, 1/8 of this bushel, is usually called the corn gallon in England. This corn gallon holds 268.8 cubic inches.

For liquids Americans preferred to use the traditional British wine gallon, which Parliament defined as 231 cubic inches in 1707. As a result, the U.S. volume system includes both dry and liquid units, with the dry units being about 1/6 larger than the corresponding liquid units.

In 1824, the British Parliament abolished all the traditional gallons and established a new system based on the Imperial gallon of 277.42 cubic inches. The Imperial gallon was designed to hold exactly 10 pounds of water under certain specified conditions. Unfortunately, Americans were not inclined to adopt this new, larger gallon, so the traditional English system actually includes three different volume measurement systems: U.S. liquid, U.S. dry, and British Imperial.

On both sides of the Atlantic, smaller volumes of liquid are traditionally measured in fluid ounces, which are at least roughly equal to the volume of one ounce of water. To accomplish this in the different systems, the smaller U.S. pint is divided into 16 fluid ounces, and the larger British pint is divided into 20 fluid ounces.