Question detail
When using a cube model to demonstrate surface area to volume ratio, what happens to the ratio if the cube's volume is increased while keeping the shape constant?
Try the question, check the answer, then read the explanation to understand the curriculum point.
At a glance
MCQ
Type
practice
Style
Topic
Bulk and surface properties of matter including nanoparticles (chemistry only)
Question
- A. The ratio increases
- B. The ratio decreases
- C. The ratio remains the same
- D. The ratio becomes infinite
Answer
The correct option is The ratio decreases. This answer is correct because it matches the approved learning objective to (chemistry only) Use simple cube models to relate size changes to surface area to volume ratio in the subtopic Sizes of particles and their properties.
Explanation
The correct option is The ratio decreases. The ratio decreases is correct because it directly supports the approved learning objective to (chemistry only) Use simple cube models to relate size changes to surface area to volume ratio. This belongs to the subtopic Sizes of particles and their properties within Bulk and surface properties of matter including nanoparticles (chemistry only), so the explanation must stay tied to that curriculum context. The other options are incorrect because they either do not answer this learning objective, use a vague statement, or move away from Sizes of particles and their properties.
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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