See Problem 3.

Make an isometric drawing of each cube structure on isometric dot paper.

  1. A cube structure has cubes with two sides facing front, three in a stack with one on the right front side of the bottom cube.
  2. A cube structure has cubes with two sides facing front, two in a stack with three lined on the left front side of the bottom cube, two lined on the right front side, and one in the middle in front.
  3. A cube structure has cubes with two sides facing front, three in a stack with one on the left front side of the bottom cube, two stacked on the right front side, and two lined on the right front side of the bottom of the two-cube stack.
  4. A cube structure has 11 cubes.
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See Problem 4.

For each isometric drawing, make an orthographic drawing. Assume there are no hidden cubes.

  1. An isometric drawing consists of nine lines.
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  2. An isometric drawing consists of 20 lines.
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  3. An isometric drawing consists of 26 lines.
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  4. An isometric drawing consists of 26 lines.
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B Apply

  1. Multiple Representations There are eight different nets for the solid shown below. Draw as many of them as you can. (Hint: Two nets are the same if you can rotate or flip one to match the other.)

    A figure has a rectangular base connected to four triangular sides meeting at a point above.

    1. Open-Ended Make an isometric drawing of a structure that you can build using 8 cubes.
    2. Make an orthographic drawing of this structure.
  2. Think About a Plan Draw a net of the can below.

    A can is in the shape of a cylinder.

    • What shape are the top and bottom of the can?
    • If you uncurl the body of the can, what shape do you get?
  3. History In 1525, German printmaker Albrecht Dürer first used the word net to describe a printed pattern that folds up into a three-dimensional shape. Why do you think he chose to use the word net?

Manufacturing Match the package with its net.

  1. A package has square top and bottom with trapezoids extending out from each to meet in the center.
  2. A package has triangular top and bottom each connected to three rectangles, two of the top overlapping two of the bottom.
  3. A package has a square bottom with trapezoid sides with triangular flaps on top.
  1. A net has a square in the center with a trapezoid widening out from each side. Each trapezoid is connected to a triangle.
  2. A net has a rectangle in the center with squares on the left and right sides. Each square has trapezoids connected to the remaining three sides.
  3. A net has a rectangle in the center with triangles on the left and right sides. Each triangular has rectangles connected to the remaining two sides.

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Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments