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Walking on a Box
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.
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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.
 Submit your idea for an investigation to InterMath.
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