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The Volume Of a Cuboid

Referencing Styles : Harvard | Pages : 1

Any solid object or a substance that exists in real life, takes some space and the measurement of this occupied space by the objects or the substances is known as the volume of that particular object. Available units that are being used to measure the volume are cubic meter (m3) which is in the SI unit form. Smaller units are sometimes measured in the unit of cm3. In case of the liquids, there are different units available to measure. Units such as, liters (L) and milliliters (mL) are used to measure the volume of liquid substances. However, the whole measurement of the volume of any substance or object or liquid is completely depended on the state of that particular object or substance. There are many ways to measure the volume depending on the state of the selected substance or object. The following section is the detailed discussion about the various ways that people normally apply to measure the volume of any solid or liquid object.

• When the selected material or object is in the form of liquid, people normally measure the volume of the liquid with the help of some containers that were designed only for the purpose to measure liquids. The container consists of some marks in every level to measure the exact volume of the liquid inside.
• The selected material or substance can be in the form of gas too. In the case of gases, it is little difficult to measure the volume as the gas can take any form and spread across the whole container. Hence, the measurement of any gaseous substance is completely dependent on the volume of the container. Smaller the volume of the container, lesser the volume of the gas and bigger the volume of the container, more the volume of gas can be obtained.
• Any object or material, which have the shape of any regular dimension, the measurement of that material or object, is the easiest way to acquire. The dimension is the primary pillar while measuring the volume of any solid material or object. In case of solid material, which is in the shape of rectangle, the volume of that object can be acquired after the exact height, length and the width of that object is known. Then the calculation needs to be done to find out the proper volume of the selected object or material.
• The volume of solid objects or materials that do not have the proper shape or have the irregular shape cannot be measured in conventional ways. These objects do not have the proper height, length, or width. They are irregularly formed hence, to find the volume of those objects people use the method of displacement. In this type of method, the selected object or material is put inside a container filled with water. The volume of the water is known as the container consist of certain marks, which would let us, figure out the volume. When the selected object is put inside, the level of water will to some different level or in other words, the level of the water is be displaced. From the difference of the water level or from the displacement, the volume of irregular shaped objects can be figured out.

The term cuboid is similar to the term cube. In case of a cube, the only difference from cuboid is that the lengths of all the sides are same unlike cuboid. The cuboid has the use in geometry. The definition of a cuboid is that an object that consists of number of six faces, which are all quadrilateral in nature and these faces bound the convex polyhedron. The polyhedral graph of a cuboid is same as a cube. The cuboid has number of 12 edges and 8 vertices. All the vertices are in the angle of 90-degree. The simple example of a cuboid is a book or a brick. The opposite sides of the cuboid are always equal in nature. In the field of mathematical literature, people refer cuboid to any object that have the shape of such polyhedron. Other than the mathematical literature, any object that have the faces with the shape of rectangles is known as cuboid. There are many variants of the cuboid that are the type of restrictive and they are right cuboid, rectangular hexahedron, rectangular box, rectangular cuboid, rectangular parallelepiped and right rectangular prism. There are two types of cuboid general cuboid and rectangular cuboid. When the definition of rectangular cuboid is interpreted, the shape can be referred to as the prism with right angles. This type of polyhedron can also be designated by the terms orthogonal parallelepiped or the rectangular parallelepiped. There are some types of cuboid, which have the special case, or exception that at least two sides of the cuboid is similar to a square. Cube can be referred to as another special case of the cuboid as the all the faces that a cube consist are all square.

The following part is the detailed discussion about the procedure and the formula regarding the measurement of the volume of a cuboid. As already mentioned before, the volume of a cuboid can only be figured out only if the length, height and the width of the cuboid are known. The length means the longest side of the cuboid and the width means the shortest side adjacent to the length of the cuboid. The height of a cuboid is the distance of the upper side of the cuboid when measured from the base. The required volume of the cuboid is measured when the values of the above-mentioned factors are known and the volume is the product of the three mentioned factors. Thus, the volume of a cuboid is measured by multiplying the value of the height, length and width of a cuboid together. Therefore, the formula to figure out the volume is -

Volume of a cuboid = length × width × height

The formula can be explained with the following example,

The height of the cuboid = 20 cm.

The length of the cuboid = 40 cm.

The width of the cuboid = 10 cm. Hence, the required volume is = 20 × 40 × 10 = 8000 cm2.

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