Page 31 - Math Course 2 (Book 2)
P. 31

Solids in Space






                             Let’s Begin                           Next, to plot the z-coordinate, draw a segment 2
                                                                   units long in the positive direction.


                                                                                   z
               Graph a Rectangular Solid

                  Examples




                Graph the rectangular solid that contains the
                ordered triple A(–3, 1, 2) and the origin. Label the
                coordinates of each vertex.


                Plot the x-coordinate first. Draw a segment from                                   y
                the origin 3 units in the negative direction.            x
                                 z


                                                                   Label the coordinate A.


                                                                                   z                 A(–3, 1, 2)






                                                 y
                       x





                                                                                                   y
                To plot the y-coordinate, draw a segment 1 unit in       x
                the positive direction.
                                 z                                 Draw the rectangular prism and label each vertex.




                                                                                       Answer


                                                                                   z
                                                                                        (–3, 0, 2)
                                                                                                    A(–3, 1, 2)
                                                                      (0, 1, 2)
                                                 y
                       x                                              (0, 0, 2)                       (–3, 1, 0)

                                                                                                      (–3, 0, 0)
                                                                      (0, 0, 0)



                                                                         x           (0, 1, 0)     y






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