Alright, let's understand how to draw an isometric sketch of a cuboid with dimensions of 5 units in length, 3 units in width, and 2 units in height. An isometric sketch gives a pseudo-3D view using 30-degree angles to give depth perception. Here’s a step-by-step guide on how to do it:
### Step-by-Step Guide for Isometric Sketch
1. Setup the Isometric Axes:
- Start by drawing three lines emanating from a single point at 120-degree angles apart. This means you will have one vertical line (height), and two lines at 30-degree angles to the horizontal (length and width).
2. Draw the Base:
- Along the line for the length (to the right), measure and mark 5 units. This will represent the length (5 units).
- Along the line for the width (to the left, downward), measure and mark 3 units. This is the width (3 units).
- Connect the endpoints of these two measurements to form the base of the cuboid (a parallelogram).
3. Draw the Vertical Edges:
- From each corner of the base, draw vertical lines upwards (parallel to the height axis) measuring 2 units long. These lines represent the height (2 units).
4. Complete the Top:
- Connect the tops of these vertical lines to form another parallelogram, similar to the base. This parallelogram represents the top face of the cuboid.
5. Connect the Vertical Corners:
- Finally, connect the corresponding vertices of the top and bottom parallelogram (base and top) to complete the sides of the cuboid.
Here's a visualization:
```plaintext
/\
/__\
/| |\
/_|__|_\
| | | |
|_|__|__|
```
- The slanted lines show the depth which is at 30 degrees to the horizontal line, while the vertical lines show the actual height.
This is the isometric sketch of a cuboid with the given dimensions of 5x3x2 units.
