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Let $APQRS$ be a pyramid, where the base $PQRS$ is a square.  The total surface area of pyramid $APQRS$ (including the base) is $800$.  Let $W$, $X$, $Y$, and $Z$ be the midpoints of $\overline{AP}$, $\overline{AQ}$, $\overline{AR}$, and $\overline{AS}$, respectively.  Find the total surface area of solid $PQRSWXYZ$ (including the bases). (This solid is called a frustum.)

 Dec 26, 2023

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