Question

Consider the developed surface in Figure K. Lines of cut and fold are indicated. Draw the 3D view of the solid in a manner that the faces A, B, and C are visible.

Hint:

When constructing a 3D form from a 2D net, start by identifying the primary base face, then progressively fold the attached faces while preserving correct proportions and alignment.

Answer 1

Step 1: Analyzing the developed surface.
- The provided net consists of rectangular and polygonal faces that, when folded, form a three-dimensional solid.
- The cut lines define the separation between different faces, while fold lines indicate the bending points.

Step 2: Folding the net into a 3D shape.
- The central square acts as the base or primary face.
- Faces A, B, and C become prominent after folding.
- Due to the diagonal fold lines, faces B and C will be positioned at angles.

Step 3: Sketching the 3D form on an isometric grid.
- Utilize projection techniques to accurately map edges onto the 3D plane.
- Ensure that faces A, B, and C are distinctly represented.
- Apply hatching or shading to differentiate between visible and hidden surfaces.