Question

Draw (i) an oblique sketch and (ii) an isometric sketch for a cuboid of dimensions 5cm, 3cm and 2cm. (Is your sketch unique)?

Answer 1

Hint: For the above question we will have to know about an oblique sketch and an isometric sketch. Three – dimensional objects can be represented as a two – dimensional plane easily. Oblique sketching is a method of representing 3 – D objects on a 2 – D plane. Isometric Sketching of an object is a pictorial representation of the object in which all the three – dimensions are drawn at the full scale.
Complete step-by-step answer:
We have been given a cuboid of length, breadth and height are 5cm, 3cm and 2cm respectively.
First we have to draw a rectangle 5cm \[\times \] 2cm. Then from one edge of 2cm, we have to draw another rectangle 3cm \[\times \] 2cm. Then we can extend the lines to the opposite sides to complete the cuboid.
So, the oblique sketch of the given cuboid is shown as below: -

First, we have to draw two sets of rectangles of dimensions 5cm \[\times \] 2cm and 3cm \[\times \] 2cm opposite to each other and separated by 3cm and 5 cm respectively. Then we can join the end points of these to get the cuboid.
Also, the isometric sketch of the given cuboid is shown as below: -

The sketch is not unique. Because, any of three faces can be placed front and the view could be different even though the object is the same.

Note: In general oblique sketch is shown on graph paper whereas the isometric sketch is shown on dot paper. And the sketch so obtained is not unique.