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Scaling

In cold weather, the shape of apartment buildings plays a crucial role in heat retention. Block-shaped buildings minimize surface area relative to volume, ensuring that less heat escapes and reducing heating fuel consumption. This design is evident in larger cube formations made from cubical blocks, which inherently possess less surface area than any other configuration. An example includes a 5 x 5 block cube, which has a surface area to volume ratio of 6/5, demonstrating the efficiency of this architectural choice in cold climates.

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Scaling

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  1. 31 Scaling Conceptual Physics Text Correlation: Section 18.5

  2. Where cold weather persists, why are apartment buildings block-shaped? Answer: The less surface area per volume, the less heat escapes and the less heating fuel consumed. Like the 3 x 3 and 4 x 4 blocks in the transparency, inner regions present no surface for heat loss. Question 1 • A group of cubical blocks that make a larger cube has less surface area than any other shape made with cubical blocks.

  3. What would be the ratio of surface area/volume for a 5 x 5 block cube? Answer: (25 x 6)/125 = 6/5. Question 2

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