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Walking on a Box




Use a GSP template or a Java Sketchpad applet to explore this situation.



The box above has a width that is twice its height and a length that is twice its width.

What is the shortest walking distance along the edges of the box between opposite vertices A and B? Give your answer in terms of the height of the box.

What is the shortest walking distance on the surface of the box between opposite vertices A and B? Give your answer in terms of the height of the box.

What is the shortest "flying" distance inside the box between opposite vertices A and B? Give your answer in terms of the height of the box.




 Related External Resources

Cube / Rectangular Prism Activity
Activity to get students to think about the linear measurements and the corresponding area and volume measurements of the cube and the rectangular prism.



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