Carrying an object up the stairs

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SUMMARY

This discussion focuses on the geometric calculations necessary to determine if a sofa can fit through bends in a staircase. The user suggests simplifying the problem by treating the sofa as a block and emphasizes the importance of considering the dimensions of both the sofa and the staircase. Key strategies include lifting the sofa to maximize its fit and drawing a diagram to visualize the scenario. The conversation highlights the need for precise measurements and geometric reasoning in problem-solving.

PREREQUISITES
  • Basic geometry concepts, including area and volume calculations
  • Understanding of spatial reasoning and object manipulation
  • Ability to create and interpret diagrams
  • Familiarity with the dimensions of common furniture and staircases
NEXT STEPS
  • Research geometric principles related to object fitting in constrained spaces
  • Learn about the mathematics of angles and dimensions in three-dimensional spaces
  • Explore techniques for visualizing complex spatial problems through diagrams
  • Investigate real-world applications of these calculations in moving and logistics
USEFUL FOR

This discussion is beneficial for movers, interior designers, architects, and anyone involved in logistics or planning for transporting large objects through confined spaces.

vega32
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Hi all,
I've got a question that came up while while carrying a sofa up the stairs. Is there a way that one could calculate whether or not the sofa (for the sake of simplifying, let's say that we're actually carrying a block -that wouldn't be far from the truth, given that the sofa remains in the cardboard container) would fit through the perpendicular bends in the stairway? OK, if the sofa is obviously not going to fit through, there is little point of even breaking a sweat doing the math, but nevertheless...

When one carries a sofa, the last resort at going through the bends is to lift the sofa up, so the longest side is facing up. Even if I disregard the height of the staircase, I still can't figure out the answer.

And too spice things up a bit, let's say that the staircase's width is wider before and narrower after the bend like in the attached picture.

I'd really appreciate your help.

Thanks!
 

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How would you get started on the problem? Suggestion --- draw a diagram (that includes the rectangle)
 

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