Fig. B-3 shows the plan and elevation of a display box, similar to the one shown in the image on the right - Leaving Cert DCG - Question B-3 - 2017

On the plan view, indicate the position of the spectator point (S), which is 1m from surface B. Draw the picture plane (PP) and define the vertical surface A. Mark the vanishing points (VP1 and VP2) appropriately based on the perspective drawing needs.

Draw a horizontal ground line (GL) and a horizontal horizon line (HL) positioned 1.2m above the ground line. This prepares the basic framework required for the perspective drawing.

Based on the computed distances from the spectator point, establish the vanishing points (VP1 and VP2) on the horizon line, ensuring they are spaced adequately to provide depth in your perspective drawing.

Draw the rectangular face of the box that corresponds to surface A in the perspective view. Ensure its proportions correspond to the specified dimensions in the question. Use the established vanishing points to guide the lines.

Use the vanishing points to project and draw the remaining two faces (B and C) of the hexagonal prism in perspective. Ensure that the widths taper correctly towards the vanishing points to maintain realism.

From point (1,1), project vertical lines to indicate the height of the back surface of the box, ensuring that these align properly with the established perspectives.

Create the perspective lines for the top edges of back surfaces B and C, ensuring they taper correctly toward the vanishing points to maintain dimensional integrity.

Finalize the perspective view by ensuring all lines converge appropriately to the vanishing points, making any necessary adjustments to depict the truncation accurately.

Draw a 15° inclined line for surface B meeting the horizontal line you established over surface A. Make sure to use the auxiliary vanishing point to assist in the accurate depiction of these angles in perspective.

Utilize the auxiliary vanishing point (AVP) to establish the sloping line on surface C accurately, maintaining the 15° incline. Ensure that the line is continuous and represents the correct perspective within the drawing.

On a separate diagram, draw the development of surfaces A, B, and C, ensuring that the dimensions are consistent with those given in the question (and from previous work).

Include the lines on surfaces A, B, and C in the development, ensuring that these correspond with the established perspectives and angles, especially emphasizing the collinearity of the 15° lines.