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Surface Area and Volume of a Cube Data

Fathom Exploration

Question #1

What is the relationship between side length and surface area of a cube according to the data set?

Questions #2

What is the relationship between the side length and volume of a cube according to the data set?

Question #3

Can the volume and surface area of a cube ever be equal? If so, at what points does this occur?

Question #4

What inferences can you make about the proximity of the points as the side length, volume and surface area increases?

Curricular Links: Math 20-2 Specific Outcomes

Curricular Links: Math 20-2 Specific Outcomes
Alberta Education. (2008). Mathematics Grades 10-12.[Program of Studies]. Edmonton Alberta, Canada: Alberta Education. Retrieved from https://education.alberta.ca/mathematics-10-   12/programs-of-study/everyone/programs-of-study/