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Surface Area of Triangular Prisms

SA = bh + l(a+b+c)

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Toblerone and the Surface Area of Triangular Prisms

Toblerone Chocolate

Recall that surface area is the total of the areas of each face on a solid figure. Also remember that the definition of a prism is a three–dimensional figure with two parallel congruent polygons as bases, with rectangular side faces. Finally, remember the formula for finding the surface area of a triangular prism is \begin{align*}SA = bh + (s1 + s2 + s3) H\end{align*}

Credit: User: Voyager
Source: http://upload.wikimedia.org/wikipedia/commons/2/2b/Toblerone.jpg
License: CC BY-NC 3.0

Toblerone is famous for its triangular shape. [Figure1]

Toblerone is a brand of chocolate famous for not only its great taste and various flavors (ranging from plain chocolate to honeycomb crisp) but also its distinct triangular packaging. This makes Toblerone chocolate a perfect example of a triangular prism.

Creative Applications

1. Do some research on the Toblerone chocolate. What different sizes of chocolate does Toblerone offer?

2. Using the dimensions of a standard Toblerone bar, how much wrapping paper do you need to remove to get to the chocolate? (Hint: Use the resources) 

3. How much chocolate is in a Toblerone bar in proportion to its surface area? What does this tell you?

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Image Attributions

  1. [1]^ Credit: User: Voyager; Source: http://upload.wikimedia.org/wikipedia/commons/2/2b/Toblerone.jpg; License: CC BY-NC 3.0

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