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A block of cheese standing on a cheeseboard is shown in the 3D graphic below - Leaving Cert DCG - Question A-3 - 2009
Question A-3
A block of cheese standing on a cheeseboard is shown in the 3D graphic below. The cheese has been cut as shown. An axonometric view is shown on the right. A plan wh... show full transcript
Worked Solution & Example Answer:A block of cheese standing on a cheeseboard is shown in the 3D graphic below - Leaving Cert DCG - Question A-3 - 2009
Step 1
Establish orientation of X and Y axes (1,3,1)
Answer
To establish the orientation of the X and Y axes in the context of the elevation, we first identify the dimensions and placement of the block of cheese in the 3D graphic. The X-axis typically represents the horizontal dimension while the Y-axis represents the depth. By analyzing the graphic, we can accurately plot the axes. The X-axis will extend horizontally from the origin, while the Y-axis will extend vertically from it.
Step 2
Draw elevation of lower block (3 x 2)
Answer
The lower block of cheese has dimensions of 3 units in width and 2 units in height. To draw the elevation, we will represent the height accurately along the Y-axis while maintaining the correct width along the X-axis. The front view will show a rectangle that is 3 units wide and 2 units tall, situated at the base of the structure.
Step 3
Draw elevation of upper block (6 x 1)
Answer
The upper block has a dimension of 6 units in width and 1 unit in height. When drawing this elevation, we position it directly above the lower block. The rectangle representing the upper block will be 6 units in width and 1 unit in height. It should be centered relative to the lower block, extending 1.5 units to either side.
Step 4
Line perp. to rebattment line
Answer
In determining the true shape of the triangular cut surface, we begin by drawing a line perpendicular to the rebattment line which helps in establishing the true length dimensions. This will create the necessary reference for plotting accurate angles and lengths on the elevation.
Step 5
Step 6
Completion of correct true shape
Answer
Finally, we will complete the true shape of the triangular cut surface by drawing the connecting edges and filling in the relevant details based on our previous steps. This will ensure the final representation is correct and accurately reflects the intersection created by the triangular cut.