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IM 8.8.12 Lesson: Edge Lengths and Volumes

Let ,, , , , and be positive numbers. Given these equations, arrange ,, , , , and  from least to greatest. Explain your reasoning.

A cube has a volume of 8 cubic centimeters. A square has the same value for its area as the value for the surface area of the cube. How long is each side of the square?

For each card with a letter and value, find the two other cards that match. One shows the location on a number line where the value exists, and the other shows an equation that the value satisfies.

Explain your reasoning.