Guitar Geometry

Exercise #1: Determine Surface Area of a Guitar Body

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Exercise #1: Determine Surface Area of a Guitar Body

Measure the length of the guitar body at the longest point and use this measurement and the graph paper units to determine the scale factor for your scale drawing. As accurately as possible, create a scale drawing of the guitar body onto the graph paper. Make sure your drawings are detailed representations of the front, back, and sides of the guitar body, including details, such as cutouts for the pickups and knobs.
Using a straightedge and compass, divide the guitar body drawing into circle sectors and polygons, such as triangles and rectangles. Determine and label the lengths of the geometric shapes using the graph paper units or a ruler. Using what you know about polygons and circle sectors, calculate the individual areas of the geometric shapes within the guitar body drawing, and then combine these areas to determine the total surface area.
Exercise #2: Convert Units and Calculate Paint Quantity

HumbrolTM enamel paint coverage: 50-ml tin covers approximately 1.0-m² depending on thickness of application.
Convert the total surface area of your guitar into m2. Based on the above information, how many milliliters of paint are needed to cover the entire surface of your guitar?

  • Hint:

  • 1-inch = 2.54 centimeter

  • 1-in2 = 6.4516 cm2

  • 100-cm = 1-meter

  • 1-m2 = 10,000 cm2

- Updated 2016

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