Eduki

The volume of any object is defined as the space occupied by any object. It is associated with 3D objects only because the area is found for plane figures only. Normally for a prism, it is calculated as the product of base area and height. The volume of a cube that has its length, breadth, and height as 1 unit each has a volume of 1 cubic unit each. Just as in the case of area, the main aim is to find out how many unit cubes can be fitted into a particular object. It was a convenient task to draw the outline of the plane 2D object in a graph and count the number of unit squares lying inside it. But the same thing in 3D is pretty tedious work to do with a lot of prisms and especially pyramids. However, some figures are shown below. 

Four unit-volume cubes are required to construct the object. So the volume of this object is 4 cubic units. 

The given object has a unit height, unit width, and length of 4 units. The volume is the multiplication of all three dimensions. 

The above figure is also of 4 cubic units but the dimensions are different, the height of the object here is 1 unit with length and breadth as 2 units each. 

This volume of the object=length x breadth x height

                                                =2 x 2 x 1= 4 cubic units

This shows that objects of the same volume can have different dimensions.

Combination of cubes

If the combination of cubic boxes is not in regular geometric shape, then the number of unit volume cubes is counted. 

For example: What is the volume of the given figure?

For constructing this object, 7 cubes of the same shape and size are needed; 6 are placed in the lower layer while one is kept on the upper layer. Thus, the volume of this object is 7 cubic units. 

You can try for yourself to make a cube with multiple unit-length cubes. Just change the dimensions of the cube.