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Volume of Cuboid And Volume of Cube

cube and cuboid

The shapes of cube and cuboid are known to be three-dimensional shapes that consist of six faces and eight vertices along with twelve edges. The primary difference which persists between them is that: A cubes all sides are equal in dimension. Whereas the length, height, and width of a cuboid are a little bit different. The volume of cuboids can be found using the formula l*b*h.

Both the shape of a cube and a cuboid look nearly the same, but they contain different properties. The volume and area of the cuboid and a cube along with a cylinder are said to differ from each other.

The shape of the cuboid is made up of six rectangular regions which are known as faces. In total, the cuboid has 6 faces. To understand them better we can mention them as ABCD from the top face. Then from the bottom, we can name them EFGH. From the front face, we can mark them as ABGH. and from the back as DEFC. From both, the side faces we can mark them as ADEH and BCFG.

Thus from the above information, we can notice that a cuboid is made up of 3 pairs of rectangular faces that are congruent from the top and bottom, from the front and back, and from both the side face as well.

In a cuboid, any of the two faces except the opposite faces meet in a line segment which is known as the edge of the cuboid. 

  • In total, a cuboid has edges= 12. 
  • These three edges meet at a point that is common to all and is known as the vertex. 
  • In total a cuboid has vertices= 8.
  • The cuboids volume = bases area × cuboids height = (l × b) × h = or lbh.

Difference Between a Cuboid and a Cube

There are a few differences between a cuboid and a cube these are mentioned below:

  • The cube’s sides are said to be equal but for cuboids the sides are different.
  • The cube sides are square in shape but in the case of cuboids, we can say that they are of the shape of a rectangle.
  • In the case of a cube, the diagonals are said to be equal but again in the case of a cuboid they have equal diagonals for only parallel sides.

Volume of a Cuboid

The cuboid volume formula can be derived from the concept which is explained below:

With the help of a small demonstration we can do so: 

First, let us take a rectangular sheet and then let the area of a rectangular sheet of paper be A. 

So now the height up to which they are stacked is H and the volume of the cuboid can be taken as V. 

Then the cuboid’s volume is given by multiplying the area of base and height.

Cuboid volume= area of base × (H)Height.

Cuboids area of base= l(length) × b(breadth).

Hence we can say that the cuboids volume (V) = l (length)× b(breadth) × h(height) = lbh.

Volume of a Cube

It is defined as a special type of cuboid itself whose breadth and length and height, all are equal. So we can say that the volume of the cube whose edge is supposed depicted as l is expressed as follows:

Cubes volume can be written as  = l × l × l = l³.

Cubes Volume

The volume of cube can also be easily found out by just knowing the simple fact that length of its edge or by knowing the measure of its diagonal. There are different steps that are supposed to be followed to calculate the area of the cube that is depending upon the given parameters. This interesting topic can be learned through Cuemath.

The cube’s volume can be found simply by multiplying the length of the edges that is three times. For instance, we can say that if the length of an edge of a cube is 4, then the volume of the cube will be 43. The formula can be written as:

Cubes volume can be given as follows = l × l × l = l³.

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