How is the volume of a box calculated?
Over the course of the past few centuries, there has been ample research done in the field of geometry by mathematicians all around the world. The creation of something materialistic is always related to the dimensions of each of the elements used to make it. We have always come across terms like surface area, perimeter and volume of different geometrical shapes, which varies according to the sides of different figures. At the same time, each one of these calculations occurs in a different way, so before we go ahead and discuss how to calculate the volume of a box, we need to understand what exactly is meant by a volume of a geometrical figure.
Bear in mind that volume is primarily related to how much space a three-dimensional geometrical figure has and how can it be occupied. A simple way of comprehending the concept of volume of a box would be to take the example of a box filled with liquid. In this case, the volume will be the total measure of the liquid that a particular solid structure can hold. Now, a box could be a cube, a cuboid or could bear any other shape. So in this case, there will be a formula for volume, which will be computed based on the value of each of the sides.
Computing the total volume of a box involves using the sides of the box as measuring factors of the volume since each of the sides play an integral role in computing the total volume of space that the solid structure can hold. Let us consider a rectangle which has a length, width and height. If we go under the presumption that the box we are experimenting on bears the shape of a square or a rectangle, the mathematical values of the aforementioned elements are the only requirements in order to compute the total volume. Once you have the values of all the elements, all you have to do is multiply them and that will give you the final value. The formula mentioned below is the standard way of measuring the volume of a box.
V = L X W X H, where
V = Volume, L = Length of the box, W = Width of the box and H = Height of the box
Hence, if we are asked to calculate the volume of a box whose length is 10 cm, width is 4 cm and height is 5 cm, then the total volume will be 10x4x5, which comes out to be 200. But this is not the final answer that we have. Since there are three separate values that are measured in centimetres, thus the final answer after multiplication will be 200cm3. In some cases, you might notice that the element called “Height” might have been changed with the term “Depth”.
You need to know how the measure of the length of the box is computed before the value is finally used to compute the volume of a box. An easy way of doing this is to look at your box from the top as you will notice it to be flat. This side of the box will be the longest one in case if the solid structure happens to be a rectangle. This side is known as the “length” of a rectangle. Bear in mind that you will have to do the same thing for each of the sides of the solid structure in order to compute its volume.
Measuring width and height of a box
The width of a box will always be adjacent to the side that is declared as its length. Note that the side which forms an “L” shape with the length of the box will be the width. This will always be the side that is shorter than the length, but can be greater or lesser than the height of the box.
The height will be the last one to be considered for the calculation of the volume of a box. The measurement is fairly simple for the height since you will have to measure the distance between the topmost point of the box and the bottommost point. The final measurement result will be the height of the box. Make note of the fact that there can always be confusion between the length of a box and its height. One easy way of noticing this would be to analyse the orientation of the box. Check how the box is lying on the floor and on the basis of that, you will get a fair idea of the height of the box. Ideally, it should not make a difference since you will anyway have to multiply the three sides of the box in order to get the value of the volume.
It is important to understand what the value of each side of a box means to you. There might be a possibility that all three sides turn out to have the same value. In this case, the box will not even be rectangular in shape, but it will be a cube as all sides of a cube are equal in measurement.
Importance of units while calculating volume of a box
Although upon multiplying the values of the three sides, you will get the volume of a box but, you will have to mention the units of each sides that were considered for the calculation process of the volume. Volume is a form of measurement, and if you fail to understand how we calculate the area and volume of a box, then you must emphasize on the simplest examples of a box. One of these might be to fill up a box with something in order to get a basic idea of how the fridge should look like. The one and only way by which you need to write the final value of the volume based on computation is if you write the value in cubed form. There might not be any other way of computing the volume of a box, but before you go ahead and apply the formula that we had mentioned, you will need to understand what value each one of the sides holds towards giving a near-precision result of the total volume.
There is a difference between a cube, cuboid and a rectangle. This difference is solely on the basis of what the individual sides of the geometrical figures measure out to be. Keep it in mind that any other solid shape that resembles a box, but has more than the required amount of sides might not necessarily be a quadrilateral at all. In this case, the measurement of volume will be different. One way of doing this would be to cut portions of the solid structure into quadrilateral shapes and then computing the volume of each one of the portions one by one. Once we have the values of all the portions, all we have to do is add them together and this will give us the final volume of a box.
Geometry is immensely fascinating since there are umpteen properties which apply to different types of shapes. These properties vary according to the shape of the structure and the length of all the sides of the box. Whether it is a triangle, rhombus, quadrilateral, circle or any other form of geometrical shape, its volume and surface area will always be calculated as long as they are based within an enclosed surface. Many research papers have been written and published on computing the volume of a box and that is something which helps students in knowing how exactly they should approach towards a problem related to coordinate geometry. The whole topic of quadrilaterals is quite vast that there are lots of theories based on them which are still under fire.
To conclude, the aforementioned sections of the article will go a long way in helping you tackle some of the trickiest mathematics problems related to coordinate geometry. Gradually, you will get used to computing these formulae and they will be in the back of your mind whenever you are trying to search for a way to compute the surface area volume or perimeter of a quadrilateral. In the similar fashion, you will be able to compute the measurements of any figure provided that you know how to calculate it.
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