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The Unit Dog project is a demonstration of surface area and volume manipulation. It's purpose will be to engage both the audience and the demonstrator to apply their knowledge and critical thinking skills to gain a new comprehension of surface area, nets, volume, and scale factors, using linking cubes and card stock to manipulate a "unit dog" based upon changes in any of these factors.
Surface area and volume, simple concepts apparent in complex circumstances, proves vital to everyday events and situations, providing information and tools that draw a line between accuracy and inaccuracy, even between life and death. My project is a basic demonstration of surface area, its calculation, and its application from paper into everyday life. Using a dog as a model, I will explore the most fundamental characteristics of 3D surfaces relative to their 2D representations.
Inside of math class, especially in the beginning classes, surface area may seem strange and almost pointless. The truth however, says otherwise. Surface area and volume can be applied to industry/manufacturing, economics, even to biology. SA/V has various diversified applications. A soda manufacturing company (e.g. Coca-Cola, Sprite, Pepsi) would use surface area and volume to correctly size and create labels for each individual can.
The greater the surface area of a radiator the more heat that will radiate outwards, keeping the internal engine cooler. Large, multi-cellular organisms have such a great number of tiny cells, because of the surface area to volume ratio is greater than it would be otherwise in larger cells. Principles of surface area and volume can be found everywhere, and neither can be passed off as unimportant math equations.
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