Definition Of Cuboid – Surface Area, Volume

Definition of Cuboid:

The cuboid is considered to be a 3-D solid shape that has six faces, six corners and six edges. It is the most commonly seen shape around the life of people and it will have three dimensions which will be width, length and height.

Sometimes one will go with the option of confusing this with the cube but it is different from it and further being clear about the basic points of differences is also very much important for people so that there is no chance of any kind of issue in the whole process.

The rectangle is considered to be a two-dimensional shape that would have four sides and further now people need to be very much clear about the implementation of the shape of the cuboid because it will be having three dimensions which will be height, weight and length.

People need to note down that cuboid will not have any kind of strict rule according to which the dimensions have to be defined and further being clear about the implementation of the right kind of systems over here is very much important so that there is no chance of any kind of problem. Following are some of the basic cuboid formulas to be learnt by kids so that there is no chance of any kind of mistake in the mathematics exam:

  • In the cases of the face of the diagonals, the formula will be under the root of length square plus width square units
  • In the cases of space diagonals, the formula will be under the root of length square plus width squared plus height square units
  • In the cases of the perimeter, it will be four into the value of length plus width plus height
  • In the cases of volume, it will be long into it into height cubic units
  • In the cases of surface area of cuboid, it will be 2 into the value of length into width plus width into height plus length into width square units
  1. People need to be clear about the basic definitions and dimensions of the diagonals of a cuboid because these are of different types. The face diagonal will be the one that will be connecting the opposite vertices of the particular face of the cuboid and they will be only two diagonals that will be drawn on one face of a cuboid.
  2. On the other hand space diagonal is the line segment that will be joining the opposite vertices of the cuboid and the space diagonal will be passing through the interior of the cuboid. So, a total of four space diagonals can be easily down inside the cuboid.

The basic properties of Cuboid have been explained as follows:

  1. All the angles formed at the vertices of the cuboid will be right angles
  2. All the faces of the cuboid will be tabular in shape
  3. Two diagonals can be easily drawn on every face of the cuboid
  4. Opposite edges of the cuboid will be parallel to each other
  5. It will be having 6 faces, 8 vertices and 12 edges

Kids need to be clear about the implementation of the right kind of values in the form of surface area, total surface area, volume, lateral surface area and several other kinds of related things so that there is no chance of any kind of issue throughout the process. Further, being clear about volume of cuboid and their dimensions is very much important to avoid any kind of mistake and depending upon platforms like Cuemath is the best decision which people can make to make sure that they will be having a good command over every shape and the associated formulas.

Volume of Cuboid – Formula

Volume of cubes and cuboids (examples, videos, worksheets, solutions,  activities)

Wondering how to calculate volume of Cuboid?

The Formula to Calculate Volume of Cuboid is = Length × Width × Height.

Formula for Surface Area of Cuboid

  • The front face area of cuboid = l x h
  • The back face area of the cuboid = l x h
  • The top face area of the cuboid = l x w
  • The bottom face area of the cuboid = l x w
  • The left face area of the cuboid = h x w
  • The right face area of cuboid = h x w
  • Hence, the total surface area is the sum of all the faces of a cuboid, then the TSA of a cuboid is:
  • Total Surface Area of Cuboid = lh + lh + lw+ lw+ hw+ hw
  • Total Surface Area of Cuboid  = 2 lh + 2 lw + 2 hw
  • Total Surface Area of Cuboid  = 2 (lh + lw+ hw) 
  • Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.

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