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Volume Conversion

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Important Notes
  • In the International System of Units (SI), the standard unit of volume is the cubic meter (m3). A cubic centimeter (cm3) is the volume of a cube whose sides are one centimeter (1 cm) in length.
  • The metric system also includes the litre (L) as a unit of volume where one litre is the volume of a 10-centimeter cube.
  • The gallon is a unit of measurement for volume and fluid capacity in both the US customary units and the British imperial systems of measurement. 1 US fluid gallon is equal to 3.785411784 liters and 1 imperial gallon is equal to 4.54609 liters.
  • A barrel is one of several units of volume applied in various contexts; there are dry barrels, fluid barrels (such as the U.K. beer barrel and U.S. beer barrel), oil barrels and so forth.
  • Various other traditional units of volume are also in use, including the cubic inch, the cubic foot, the cubic yard, the cubic mile, the teaspoon, the tablespoon, the fluid ounce, the fluid dram, the gill, the pint, the quart, the minim, the cord, the peck, the bushel, the hogshead, the acre-foot and the board foot.

Volume (Cube & Cuboid)

Important Notes
  • In geometry, a cube is a three-dimensional solid object bounded by six square faces (or sides) with three meeting at each vertex. It has 6 faces, 12 edges and 8 vertices.
  • A cube has all edges the same length. This means that each of the cube's six faces is a square. The volume of the cube is given by the formula : V=s3 cubic units, where s is the length of the cube & V is the volume of the cube.
  • A cuboid is a three-dimensional structure having six rectangular faces. These six faces of cuboid exist as a pair of three parallel faces. It has 12 edges and 8 vertices.
  • The volume of a three-dimensional shape cuboid is equal to the amount of space occupied by it. The volume of cuboid can be calculated by the formula : V=l×b×h cubic units, where l is the length, b is the breadth & h is the height of cuboid.
  • The basic difference between a cube and cuboid is that a cube has equal length, height and breadth whereas in cuboids these three may or may not be the same. The cuboid can also be called a right rectangular prism.

Volume (Cone & Cylinder)



Important Notes
  • A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.
  • The volume of a cone is equal to one-third the product of the area of the base and the height. Thus, The volume enclosed by a cone is given by the formula, Volume=1/3*πr2h , where r is the radius of the circular base of the cone and h is the height of the cone.
  • A cylinder is one of the most basic curved geometric shapes, with the surface formed by the points at a fixed distance from a given line segment, known as the axis of the cylinder.
  • The volume of a cylinder is equal to the product of the area of the base circle and the height. Thus, The volume enclosed by a cylinder is given by the formula, Volume=πr2h, where r is the base radius and h is the height of the cylinder.
  • A cone is a 3-dimensional solid object that has a circular base and a single vertex whereas cylinder is a 3-dimensional solid object that has two parallel circular base connected by a curved surface. Also, the volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.

Volume (Sphere & Hemisphere)


Important Notes
  • A sphere is a geometrical object in three-dimensional space that is the surface of a ball. Like a circle in a two-dimensional space, a sphere is defined as the set of points that are all at the same distance r from a given point, but in a three-dimensional space.
  • The volume enclosed by a sphere is given by the formula : Volume V=4/3*πr3 , where r is the radius of the sphere.
  • As the hemisphere is the half part of a sphere, therefore volume of hemisphere is also half that of the sphere. The volume of hemisphere is given by the formula : Volume V=2/3*πr3 , where r is the radius of the hemisphere.
  • Sphere is a regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about its diameter while hemisphere is half of the sphere, obtained when a plane passing through the center cuts the sphere into two parts. Unlike sphere, hemisphere has a flat base of radius r.
  • The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere. Both these shapes have many real life applications.
volume
Volume

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter. The volume of a container is generally understood to be the capacity of the container; i. e., the amount of fluid (gas or liquid) that the container could hold rather than the amount of space the container itself displaces.
Volume plays a significant role in many areas & fields such as differential geometry, thermodynamics, import & exports, calculation of fuel amounts, construction, storage units etc.

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The use of units, measurements and conversions plays a big part in excelling in math. The intent of this site is to help visitors perform different varieties of calculations/conversions easily with a high degree of accuracy.

The site includes unit converters for various quantities like currency, length, speed, time, area, volume, mass, temperature, angle, pressure, energy and power. In addition to this, it provides area & volume calculations of different shapes & it's parts. The site also contains several other features like number system conversion, calculation of interests, percentages along with color code finder and many more.

History of Measurement :

The earliest recorded systems of calculations and measures originate in the 3rd or 4th millennium BC. Even the very earliest civilizations needed measurement for purposes of agriculture, construction and trade. Early standard units might only have applied to a single community or small region, with every area developing its own standards for lengths, areas, volumes and masses.

With the development of manufacturing technologies and the growing importance of trade between communities and ultimately across the Earth, standardized weights and measures became critical. Starting in the 18th century, modernized, simplified and uniform systems of weights and measures were developed, with the fundamental units defined by ever more precise methods in the science of metrology.

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