Oblique Sketch Solids On Flat Surface

Oblique Sketch

In our day to day life we come across multiple three dimensional objects such as prisms, basketball, football etc. A three dimensional object can be easily represented on a two dimensional plane with the help of oblique sketch.

Look at the image of the cube given below:

oblique sketch

We know a cube is a three dimensional object but the image of cube drawn above on the paper gives us a clear picture as of how a cube looks like. The plane of paper is two dimensional but a three dimensional solid such as the cube can be represented on it. The important point to note here is that not all the faces of the cube are visible to us but we can still figure out the image as a cube. Also, if measured the lengths of all sides drawn in the above image are varying but still the image depicts a cube. Such a representation is known as an oblique sketch.

Oblique sketch can be defined as a diagram intended to portray a perspective of an object in three dimensions.

Let us try to draw an oblique sketch of a 2 × 2 ×2 cube on a paper.

  1. For sketching a 2 × 2 ×2 cube take a squared paper as shown below:

oblique sketch

  1. Sketch the front face of a cube measuring 2 ×2 as shown below:

oblique sketch

  1. Sketch the back face which is offset with respect to the front face.

oblique sketch

  1. Join the corresponding corners as shown:

oblique sketch

  1. Join the corresponding corners as shown:

oblique sketch

  1. According to the convention redraw the hidden edges as dotted lines as shown:

oblique sketch

Our oblique sketch representing a cube of dimension 2 × 2 ×2 is ready. The following points must be kept in mind while drawing an oblique sketch:

  1. Size of the front and back end of the oblique sketch are same
  2. All the edges in the cube are equal which also appear in the image but its measurement is different.

Thus, oblique sketches of different shapes can be drawn easily. To learn more about oblique sketch and other solid shapes download BYJU’s- The Learning App from Google Play Store.


Practise This Question

What cross-sections do you get when you give a vertical cut to a cylindrical rod (refer figure)?