Volume of a Solid with Square Cross Sections

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The base of a solid is the region enclosed by the $x$ -axis and the graph of $y = 2 - |x|$ . Each cross section of the solid perpendicular to the $x$ -axis is a square. What is the volume of the solid?

$\displaystyle \frac{32}{3}$

$8$

$\displaystyle \frac{16}{3}$

$\displaystyle \frac{8}{3}$

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