Question

Use isometric dot paper and make an isometric sketch for each one of the given shapes:

Answer 1

Hint: We will sketch the isometric figures by first drawing the front faces of the figures. To get the length of $n$ units, we have to join $n + 1$ dots. Then, we will draw parallel lines and then connect all the required lines to complete the figure. At last, erase the unnecessary lines.

Complete step-by-step answer:
Isometric dot paper is a paper with a series of guide-points which helps to draw 3-D figures easily.
We will draw the given 3D figure using isometric dot paper.
We join 2 dots to get 1 unit length.
To get the length of $n$ units, we have to join $n + 1$ dots.
In the first figure, we can see the face of the rectangle is 6 units in length and has a breadth of 3 units.
Hence, we will first draw a rectangle connecting 7 dots horizontally and 4 dots vertically.

Now, we will draw 4 parallel lines connecting 3 dots from each corner to draw a length of 2 units.

Then, join all the vertices to form a cuboid.

Similarly, we will draw the other figure, by first drawing the front face of the shape.

Draw the corresponding parallel lines.

Then, join all necessary vertices.

Erase all the unnecessary lines.

Note: Isometric figures can be drawn using straight lines. Horizontal lines are called sleeping lines and vertical lines are called standing lines. We cannot draw all the faces on an iso-metric page of a 3D diagram. But the faces drawn give a pseudo effect of a 3D figure.