Page 145 - Math Course 1 (Book 2)
P. 145

Geometric Area: Composite Figures





                Step 2                                            Orthographic Drawings
                Draw the triangle for the top of the solid.
                                                                     Example



                                                                   Draw a corner view of the f gure given its
                                                                   orthographic drawing.






                                                                     Top view
                                                                                  left       front       right
                                                                                  view       view        view

                                                                  The top view indicates one row of different heights
                Step 3                                            and one column in the front right.
                Draw segments 6 units down from each vertex
                for the vertical edges.
                                                                  The front view indicates that there are four standing
                                                                  columns. The f rst column to the left is 2 blocks
                                                                  high, the second column is 3 blocks high, the third
                                                                  column is 2 block high, and the fourth column to the
                                                                  far right is 1 block high. The dark segments indicate
                                                                  breaks in the surface.

                                                                   The right view indicates that the front right column
                                                                  is only 1 block high. The dark segments indicate a
                                                                  break in the surface.

                                                                  The left view indicates that the back left column is 2
                                                                  blocks high.

                                                                  Draw the f gure so that the lowest columns are in
                                                                  front and connect the dots on the isometric dot
                Step 4                                            paper to represent the edges of the solid.
                Connect the corresponding vertices. Use dashed
                lines for the hidden edges. Shade the top of the
                solid.                                                                 Answer


                                    Answer




























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