Overview:  When you are done, you will have:

 

l      Used several of the basic tools (introduced in the help tutorials)

l      Drawn several 3-D objects and calculated areas of different faces

l      Become more familiar with the following geometry terms.

o       axis, horizontal ,x-axis, vertical, y-axis, line segment, origin, endpoint, parallel, perpendicular, square, cube, area, length, edge, face, plane, midpoints, congruent, surface area, similar, construction, vertex, opposite, circle, radius, diameter, circumference, intersection

 

Solid Geometry I – The boring little skyscraper

  1. Start Sketchup.  Close intro screens and delete “perspective man” if necessary.
  2. Select File/New if you have been drawing on your screen already
  3. Select Windows/Model Info
  4. Select Units and change Format to Decimals and Centimeters AND Change Precision to 0.0 cm
  5. Close the Model Info dialog box
  6. Use View/Toolbars to show the Camera, Construction, Drawing, Modification(Edit), Principal and Views Toolbars.  Arrange them as you see fit.  NOTE:  To find the name of a button for any toolbar, simply hover the mouse over the button for a second.  Put your mouse over a few of the buttons and see what their names are.
  7. Use the view toolbar to put the view as Right.  You should see ONLY the green axis as a horizontal or x-axis and the blue axis as a vertical  or y-axis. 
  8. Use the Pencil to draw a line segment from the green/blue origin to the right along the GREEN axis.
  9. Notice the length in the “dimension box” lower right corner  (EXAMPLE, your number may be different)
  10. Type 10 and press enter  (DO NOT click on the box, just type immediately)
  11. The box should have updated to 10 and the line segment should have changed its length.  This will be very small.  You may need to use the Zoom Window button  on the Camera Toolbar to zoom in on this part of the drawing. If the red axis appears, that’s okay.  Ignore it for now.
  12. Use the Pencil to draw a line from the green/blue origin up along the BLUE axis.
  13. Type 10 and press enter to get the line to the precise length
  14. From the top endpoint of the last line segment draw a line segment that is parallel to the first line.  You will notice the color of this line will be green.  This tells you that you are parallel to the green axis.  As you draw you will notice a dotted blue line appear when you are perpendicular to the endpoint of the lower line.  STOP at the point that is perpendicular to the lower point.
  15. Connect the two endpoints to make a square.
  16. Use the view toolbar to put the view as Isometric
  17. Use the push/pull tool  to pull the square out in the red direction to make a box.
  18. Type 10 and press enter and the box should become a perfect cube.
  19. What should the area of one face be?  Use the arrow (select) tool to right-click on a face and find the Area of the Selection.  Was it 100 cm2?  If not, you did not click on the face or you did not draw the figure correctly.  Try again or ask for help.  You can also use the select tool to find the length of an edge.
  20. On the top of the cube (the face parallel to the red/green plane), use the pencil to connect the midpoints of the segments parallel to the red axis.  The midpoints for any segment can be found by moving the mouse over the segment and waiting for the point to turn light blue.  Note also that endpoints are green.
  21. The top square face is now divided into two halves.  Use the push/pull to pull the half closest to the blue axis up by 10 centimeters.
  22. In a similar way, bisect the highest face and extrude it another 10 centimeters so that it looks like the picture on the right.
  23. Save the file in your folder (if you don’t know where this is, ASK!) as SK1
  24. Sketch the solid figure in your notebook and record the area of each of the visible faces. [Remember, you can use the arrow (select) tool to right-click on this face and find the Area of the Selection.]

 

 

 

 

 

 

 

 

 

 

 

 

Solid Geometry II – The more interesting little skyscraper

  1. Make sure steps 1-6 have been completed.  Make sure you last file is saved (step 23)
  2. Be sure to use File/New to create a new file and to set the model info to the correct units.
  3. Use the view toolbar to put the view as Top.  You should see ONLY the red axis as a horizontal or x-axis and the green axis as a vertical  or y-axis. 
  4. Use the Pencil to draw a line segment from the green/red origin to the right along the RED axis.
  5. Notice the length in the “dimension box” lower right corner
  6. Type 50 and press enter  (No need to click on this box)
  7. The box should have updated to 50 and the line segment should have changed its length.  This will be very small.  You may need to use the Zoom Window button on the Camera Toolbar to zoom in on this part of the drawing. If the red axis appears, that’s okay.  Ignore it for now.
  8. Use the Pencil to draw a line from the green/red origin up along the GREEN axis.
  9. Type 25 and press enter to get the line to the precise length
  10. From the top endpoint of the last line segment draw a line segment that is parallel and congruent to the first line. 
  11. Connect the two endpoints to make a rectangle.
  12. Use the view toolbar to put the view as Isometric
  13. Use the push/pull tool to pull the square out in the blue direction to make a box.
  14. Type 10 and press enter and the box should be similar to the one on the left.
  15. What should the area of each face be?  Use the arrow (select) tool to right-click on a face and find the Area of the Selection.  Were the areas 250 cm2, 500 cm2,  and 1250 cm2? If not, try again or ask for help. 
  16. Now we want to find the surface area.  The surface area is the area of all of the faces added together.  To do this, right-click on any face and chose Select and the choose All Connected.  Right-click again and choose Area and Selection.  This should be 4000 cm2 which is the area of all six faces added together.
  17. See the picture to the left for this next construction.  Use the pencil to draw a line from the upper vertex on the blue axis to the midpoint of the segment that is parallel to the red axis but not touching any other axis.  From this midpoint, draw another line to the vertex that is “closest” to you.

 

  1. Use the push/pull to pull the two congruent triangle up to the height of 20 centimeters and 15 centimeters respectively.
  2. See the picture to the left for the next construction.  Use the tape measure tool to draw a construction line from the upper vertex on the blue axis to the midpoint of the opposite side of the triangle.  Draw a second construction line from the vertex “closest” to you to the midpoint of the opposite side of the triangle.

 

 

 

  1. Use the circle tool to draw a circle with a radius of 5 centimeters.  The center should be on the intersection of the two construction lines.  You can use the dimension box to type in the exact value of the radius.
  2. Use the push/pull tool to pull the circle in the blue direction by 10 centimeters.
  3. If the radius of the circle is 5, what is the diameter?  What would you expect the circumference to be?  Use the arrow tool to select the EDGE of the circle (should highlight blue).  Right-click and select entity info.  Note the approximate length is 10 times pi.  Also note that the circle is actually made up of 24 segments.  IT IS NOT A PERFECT CIRCLE.
  4. What would you expect the area of this circle to be.  Use the arrow tool to right click on the face of the circle and find the area of the selection.  This number is close to pi times the radius squared but NOT exactly.  The number is not exact because the circle is not perfect.
  5. Save the file in your folder (if you don’t know where this is, ASK!) as SK2
  6. Sketch the solid figure in your notebook and record the area of each of the visible faces.
  7. Show Mr. Taylor both sketches when done.

 

For fun, add little windows or other parts to your building and/or paint it!!