Question

Draw an isometric rough sketch for a cuboid of dimensions \[6\times 3\times 4\] ?

Answer 1

Hint: In the given question, we have given the three dimensions of the cuboid i.e. \[6\times 3\times 4\] . Thus the length of the cuboid is 6 units, breadth of the cuboid is 3 units and the height of the cuboid is 4 units. We have been asked to draw the shape of the cuboid in an isometric sheet. An isometric drawing is a type of 3D drawing that is set out using 30-degree angles.

Complete step-by-step answer:
We have given that,
A cuboid of dimensions \[6\times 3\times 4\] .
Therefore,
The length of the cuboid = l = 6 units.
The breadth of the cuboid = b = 3 units
The height of the cuboid = h = 4 units
Now,
We need to draw an isometric sketch of the cuboid of the dimension \[6\times 3\times 4\] . An isometric drawing is a type of 3D drawing i.e. that has 3 dimensions such as length, breadth and the height. An isometric figure is set out using 30-degree angles. In isometric drawing, the same scale is used for every axis, that is it is called the axonometric drawing. Thus resulting in an image that is a non-distorted image.
Therefore,
The required isometric sketch of a cuboid of dimensions \[6\times 3\times 4\] is;

Note: We can observe that the isometric sketch or the isometric drawing is a pictorial representation of an object in which all the three-dimensions i.e. 3D are drawn at the full scale. It will look like an isometric projection. In the isometric drawing, we will keep the vertical lines as vertically, whereas the horizontal lines are drawn at an angle of 30-degree to the horizontal plane.