Question detail
Explain how the surface area to volume ratio changes when the size of a cube decreases. Use a simple cube model in your explanation.
Try the question, check the answer, then read the explanation to understand the curriculum point.
At a glance
Question
Type
exam_style
Style
Topic
Bulk and surface properties of matter including nanoparticles (chemistry only)
Question
Explain how the surface area to volume ratio changes when the size of a cube decreases. Use a simple cube model in your explanation.
Answer
As the size of a cube decreases, its surface area to volume ratio increases. For example, if a cube's side length is halved, the surface area decreases by a factor of four, while the volume decreases by a factor of eight, resulting in a higher ratio of surface area to volume.
Explanation
This answer demonstrates understanding of the relationship between size and surface area to volume ratio using a cube model, which is crucial for grasping concepts in nanoscience.
Common mistake
Misunderstanding Surface Area to Volume Ratio
Students often think that as the size of a cube increases, the surface area to volume ratio also increases.
Remind students that as the size of a cube increases, the volume increases faster than the surface area, leading to a decrease in the surface area to volume ratio.
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