Cuboid Volume

The current study has focused on the definition of volume of cuboids that is found by multiplying the breadth and length by the height of cuboids. It has included the formula for obtaining the volume of a cuboid. The significance of the volume of cubes and cuboids has been explained in this study that helps to find out the total space occupied by the cuboids. There is an intense relationship between the quantitative aptitude and volume of cuboids that have been illustrated in the current study. Apart from that some frequently asked questions in terms of the volume of cuboids have been described briefly in this study. 

“Volume of Cuboid” Definition

Cuboids are three-dimensional rectangular prisms that have twelve edges, six faces, and eight vertices. Volume is the complete space that is occupied by a cuboid within its three-dimensional structure. The volume of cuboids is supposed to be obtained by the multiplication of length, breadth, and height. Therefore it can be stated that the volume of cuboids = length × breadth × height. For example, if a cuboid has a length of 14 centimeters, breadth of 12 centimeters, and height of 8 centimeters, the volume of this cuboid will be 14×12×8= 1344 cubic centimetres. The volume of one unit cuboid is considered one cubic unit. In other words, it can be stated that the volume of cuboids is the product of the breadth, length, and height of the cuboids. Cuboids are prisms that have cross-sections that play a major part in finding out the volume of cuboids. 

The Formula for “Volume of Cuboid” 

The formula of the “volume of cuboid” is equal to Base area × Height 

“The base area of the cuboid is equal to l × b”

“Hence, the volume of a cuboid, V = l × b × h = lbh”

There are three steps to calculate the “volume of cuboid” that are mentioned below. 

Step 1: Checking the given dimensions of the given cuboids whether they are in the same unit or not. In case, the dimensions are not given in the same units, then the first job is to convert the “dimensions into the same units”. 

Step 2: After converting the dimensions, the next job is multiplying the height, length, and breadth of the cuboid. 

Step 3: Write the value at the end after obtaining the value. 

Example: Finding the “volume of the cuboid” that has a length of 7 inches, a height of 3 inches, and a breadth of 5 inches. 

Solution: As per the problem, the solution that can be drawn is provided below. 

Length= 7inches, height= 3 inches and breadth = 5 inches. 

So, the “volume of the cuboid” is- V = lbh = (7 × 5 × 3) in3

V= 105 in3. 

Difference between “Volume of Cube and Cuboid” 

Difference 1: The core difference between the cube and cuboid is – the “Cube is a six-squared shaped face”, but a cuboid is not like that. It is rectangular and that is the main difference between the cuboid and the cube. 

Difference 2: A cube’s sides are equal, but a cuboid’s sides are not equal. 

Difference 3: the diagonals of a cube are equal, but a cuboid’s diagonals are equal for only parallel sides. 

These are the differences that can be observed by eyes, but there is another difference between these two shapes and that is the formula of these mathematical figures. 

These are the basic differences between these two shapes that are described above and it is clear that these are not the same structures and the quantitative problems of these structures are also different from each other. 

Relationship of Volume Cuboid and Quantitative Aptitude

Quantitative aptitude takes active participation to test quantitative skills in a logical way. It also plays its role in experimenting with analytical skills and it is one of the best methods that is used as a problem-solving skill. Quantitative aptitude includes the grass-root concept of basic mathematics that are arithmetic, algebra, geometry, mensuration, trigonometry, and many others. On this account, it needs to be mentioned that the volume of cuboids is included in the ground of mensuration. Cuboids are rectangular prisms that are three-dimensional. Volumes of the cuboids are the total space that is occupied by the cuboids and there is a particular formula to obtain the value of cuboids as per the quantitative aptitude. It needs to multiply the value of length, breadth, and height of the cuboids to obtain its volume. Therefore it can be stated that there is a great connection between quantitative aptitude and volumes of cuboids as the formula has been generated according to the quantitative aptitude. 

Conclusion

Therefore it can be concluded that this study has introduced the concept of quantitative aptitude and has stated the definition of the volume of cuboids. It is the total space that is included within the prismatic structure of cuboids. This study has included the formula for obtaining the volume of cuboids as well as the importance of the volume of cuboids. Apart from that it has established the relation between quantitative aptitude and its volume and answered some