IM 8.8.12 Lesson: Edge Lengths and Volumes

Let [math]a[/math],[math]b[/math], [math]c[/math], [math]d[/math], [math]e[/math], and [math]f[/math] be positive numbers.[br][br]Given these equations, arrange [math]a[/math],[math]b[/math], [math]c[/math], [math]d[/math], [math]e[/math], and [math]f[/math]  from least to greatest. Explain your reasoning.[br][list][*][math]a^2=9[/math][/*][*][math]b^3=8[/math][/*][*][math]c^2=10[/math][/*][*][math]d^3=9[/math][/*][*][math]e^2=8[/math][/*][*][math]f^3=7[/math][/*][/list]
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.[br][br]
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