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Grade 12

Maximising volume (Investigation)

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Outcomes

12C.C.2.1

Recognize, through investigation using a variety of tools and strategies, and explain the significance of optimal perimeter, area, surface area, and volume in various applications (e.g., the minimum amount of packaging material, the relationship between surface area and heat loss)

12C.C.2.2

Determine, through investigation using a variety of and strategies tools, the optimal dimensions of a two-dimensional shape in metric or imperial units for a given constraint (e.g., the dimensions that give the minimum perimeter for a given area)

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