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Exploring Surface Area in Rectangular Prisms: Applications and Thermodynamic Insights

In this activity, groups will calculate the surface area of cubes and rectangular prisms. Participants will discuss their methods to ensure accuracy and explore different solutions. The discussion will also cover thermodynamics, focusing on how to increase surface area without increasing volume, particularly in contexts like motorcycle engines and heat sinks. This exploration will enhance understanding of thermal contact and efficiency in heat transfer applications. Engage in collaborative problem-solving to uncover innovative ways to optimize surface area.

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Exploring Surface Area in Rectangular Prisms: Applications and Thermodynamic Insights

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  1. Rectangular Prisms Applications

  2. Let’s Review • In your groups, find the surface area of the cube and rectangular prism. • How were you able to find the answer? • Is it the right answer? • Did anyone solve it differently? http://www.learner.org/interactives/geometry/3d_prisms.html

  3. Thermodynamics!!!!! How do you increase surface area?

  4. Thermodynamics!!!!! • In other words, heat goes from the warmer object to the cooler object, through the areas of contact (Boundaries), until they reach the same temperature.

  5. How do you increase surface area without increasing volume?

  6. Hint

  7. Exit Ticket! • 1. How can the surface area of an object be increased without increasing the volume of the object? • 2. In addition to increasing surface area on motorcycle engines and heatsinks to refrigerate the device, when else would it be beneficial to increase the surface area of an object without increasing its volume?

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