(a)
To create the orthographic drawings of three different
(a)
Explanation of Solution
Let’s create orthographic drawings of three different solids.
Solid (1) made of three cubes.
Front view
Top view
Side view
Solid (2) made four cubes
Front view
Top view
Side view
Solid (3) made four cubes
Front view
Top view
Side view
(b)
To create a table comparing the number of cubes in solid and orthographic drawing.
(b)
Explanation of Solution
Given information:
Three solids and their orthographic drawings as in part (a)
Table:
The table shows the number of cubes needed to construct the solid 1, 2, and 3 in part (a) and number of squares visible in the corresponding orthographic drawing.
Solid | Number of cubes required in solid | Number of squares visible in orthographic drawing |
1 | 3 | 7 |
2 |
4 | 9 |
3 | 4 | 9 |
(c)
To interpret the results in the table in part (b)
(c)
Explanation of Solution
Given information:
The table in part (b) shows the number of cubes needed to construct the solid 1, 2, and 3 in part (a) and number of squares visible in the corresponding orthographic drawing.
Interpretation:
By analyzing the table in part (b) we can conclude that there is no direct relation between the number of solids and number of squares in orthographic drawing.
But the number of squares in orthographic drawing will depend on the arrangement of the cubes that creates the solids.
Chapter 12 Solutions
Geometry, Student Edition
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