Isometric Sketch, Solids On Flat Surface

ISOMETRIC SKETCH

Three-dimensional objects can be represented on a two-dimensional plane easily if drawn properly. Oblique sketching is a method of representing 3-D objects on a 2-D plane. Although oblique sketches are capable enough to project the correct image of the object the actual measurement of the object may vary as compared to the image projected on a two-dimensional plane. To overcome this limitation isometric sketch is used which portrays the exact measurement of the object along with the projection of its image on two dimensions.  Let us study the isometric sketch in detail;

  1. The meaning of isometric is having equal measurements or dimensions.
  2. In an isometric sketch, the image of the object is drawn in such a manner that the original dimension of the object is intact irrespective of its position.

Let us try to draw an isometric sketch of a 8 × 2 × 2 cuboid.

1. To draw an isometric sketch of a cuboid with dimension 8 × 2 × 2, take an isometric dot paper as shown below:

isometric sketch

Isometric Dot Paper

2. To draw the front face, join 4 dots to form the length of the cuboid and 3 adjacent dots to form its breadth as shown:

isometric sketch

Isometric Sketch

3. From the corners of the rectangle drawn above, draw 4 parallel line segments as shown below:

isometric sketch

Isometric Sketch

4. Join the corners of the image together as shown below:

isometric sketch

Isometric Sketch

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

isometric sketch

8 × 2 ×2 cuboid

Our isometric sketch representing a cuboid of dimension 8 × 2 ×2 is ready. Thus, using isometric dot sheet we can draw three-dimensional shapes of exact measurements or dimensions without any ambiguity.

Thus, isometric sketches of different shapes can be drawn easily. Learn more about the fascinating world of Mathematics, about the isometric sketch and other solid shapes download BYJU’s- The Learning App from Google Play Store. Join us and fall in love with learning.


Practise This Question

The base of a square pyramid is a  ____.