How To Calculate Cubic Meters

The cubic meter is a unit of volume. It is designated as 1m3, it is a unit that is equivalent to a cube with an edge of 1m. Remember that the edge is the intersection between two of its faces, the cube has 6 faces and they are all square.

We want to explain how to calculate cubic meters, that is, calculate the volume of a room, of an object, etc.

The volume is the space that a body occupies, so calculating the cubic meters that that body occupies is the same as calculating its volume.

There are also other units of volume that are used depending on the object: if it is small, we generally speak of cm3, also dm3, or if we speak of the volume of the Earth we will express it in km3.

Another interesting detail is that one liter of water fits in a dm3, imagine a cube with a side of 10cm, which is equal to 1 dm on a side, in that cube fits exactly 1 liter of water (the liter is a unit of capacity but closely linked to volume).

We will see everyday examples and mathematical formulas so that you can calculate simple volumes.

What do you need to calculate cubic meters?

  • Geometric bodies to calculate volumes.
  • Measures or ruler or measuring tape.
  • Calculator.
  • Pencil and paper.
  • Mathematical formulas.

Instructions for calculating cubic meters

  1. If we wanted to know approximately how many cubic meters a room has, we should imagine how many times that imaginary 1m3 cube fits inside  the room. It could be 12 or 15 times, that is, 12 or 15m3 it is very difficult to appreciate it with the naked eye, especially if the room is irregular.
  2. Luckily Mathematics give us very simple formulas to calculate volumes and thus be able to use this measure for different things: for example, if we want to buy a stove we must know what the volume of the room to heat is, if we want to buy an air conditioner the situation It is similar because if we put one with few refrigerators for the place that is too large, it will never stop working to maintain the desired temperature, ruining itself in the short term.
  3. A very simple example is calculating the volume of the famous game “magic cube” or Rubik’s cube, which consists of a three-dimensional mechanical puzzle. The cube is made up of 27 small colored cubes that move in different directions and it must be achieved that each of the six faces of the cube remain the same color. It is not easy to solve it but it is not what interests us now, but to calculate its volume, in two different ways applying the corresponding formulas.
  4. Volume of the cube= AAA= A3 (A: edge)
  5. If we look at it in the photo we see that for each face it has 9 colored squares, these squares form one face of the large square. Let’s go to the little ones: if you measure them with a ruler you will see that they have a side of one and a half centimeters, so the volume of the small cube is V= 1.5cm. 1.5cm. 1.5cm = 375cm3. If we count the cubes we will have 27 in total, therefore we can find the volume by adding the volume of the 27 cubes or, what is the same, multiplying the volume of the cube by 27:
  6. V = 27.3.375cm3 = 125cm3 _
  7. We could also have calculated the volume of the large cube directly: the side of the cube is 4.5 cm, therefore its volume will be obtained by multiplying the three edges:
  8. V = 4.5cm. 4.5cm. 4.5cm = 125cm 3
  9. If you want to calculate how many cubic meters there are in a room , you must take the following measurements: the length, the width and the height, resembling the room as a prism.
  10. The formula for the volume of the prism will help you calculate any object of this shape, the room is not exactly a prism but it looks pretty close unless it is too irregular.
  11. V = L 1. L 2 . L 
  12. In this formula L 1, L 2  and L 3   are the measurements of the length, width and height regardless of the order. Suppose that the length of the room is 4.3 m, the width is 3.80 m and the height is 3.05 m, the volume of the room will be:
  13. V = 4.3m. 3.8 m .3.05 m = 837 m3, almost 50 m3.
  14. We leave you the formulas of the volumes of other geometric bodies
  15. Sphere: V = 4/3 ∏. R 3 in this formula ∏= 3.14 and R: radius of the sphere
  16. Cylinder: V = ∏. R2. H R: radius of the circle of the base and H: height of the cylinder.

Tips for calculating cubic meters

  • Choose simple bodies to practice calculating volume, for example a freezer, a refrigerator, a piece of furniture, a cone, a room, a cylindrical glass, etc.
  • If you have the measurements in centimeters and you want to calculate cubic meters it is easier to express the measurements in meters (dividing by 100) and then calculate the volume.

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top