Name: Date: o 11.1 Drawing Views of Cube Structures Use grid paper to draw top, front and side views of a cube structure. You will need linking cubes. 1. This structure is built with five linking cubes. identify each view below as the top, front, or right side. right side front . • . • • '• • 2. Build each structure, and then draw it, using a thick line to indicate a change in depth. mm a! 77 7 front front top right side / A / J < / ) front front top right side Top, front, and side views are used to represent a 3-D object with several drawings. To draw views of an object, you can: • Draw what you see when you look at the structure straight on. • Look at the structure from a slightly different angle to see changes in depth. • Mark the changes in depth with a thick line. For example, this structure would look as shown from the front, top, and side. front top right side 92 Chapter 11: 3-D Geometry Copyright @ 2009 by Nelson Education Ltd.
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Name: Date:
o 11.1 Drawing Views of Cube Structures
Use grid paper to draw top, front and side views of a cube structure.
You will need linking cubes.
1. This structure is built with five linking cubes. identify each view below as the top, front, or right side.
right side
front . • . • • '• •
2. Build each structure, and then draw it, using a thick line to indicate a change in depth.
mm a!
77 7
front front top right side
/ A
/ J <
/
) front front top right side
Top, front, and side views are used to represent a 3-D object with several drawings. To draw views of an object, you can: • Draw what you see when you
look at the structure straight on. • Look at the structure from a
slightly different angle to see changes in depth.
• Mark the changes in depth with a thick line.
For example, this structure would look as shown from the front, top, and side.
front top right side
92 Chapter 11: 3-D Geometry Copyright @ 2009 by Nelson Education Ltd.
Name: Date:
1 1 **y Building Cube Structures I mJL. from Views
] Make cube structures, given their top, front, and side views.
2. Build and draw two numbers from 2 to 9 with linking cubes.
o
An isometric drawing is a way to represent a 3-D object with a single drawing. You can create an isometric drawing of a cube structure by drawing the structure layer by layer, erasing hidden lines as you go. Or, you can line up the vertices (corners) of the cubes with the dots of the triangular dot paper. Start drawing a cube with three faces. Extend the lines to draw the cubes around it. Continue drawing the cubes until the isometric drawing matches the cube structure. For example, an isometric drawing for this structure is as shown:
Make and verify predictions about the views that result from rotating cube structures.
You w i l l irasedl Jinkiinig coaib-s®.
1. This cube structure is rotated vertically 90° cw. Draw the new front, top, and right side views.
front front top right side
2. Tell how the object was rotated from its original position in each case.
Original position
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Horizontally rotating an object means making it rotate like a merry-go-round. You can rotate an object clockwise (cw) or counterclockwise (ccw).This object has been rotated horizontally 90° ccw.
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Vertically rotating an object means making it rotate like a Ferris wheel. You can rotate an object cw or ccw. This object has been rotated vertically 90° cw.