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Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 8$, $BC = 4$, $\overline{PA}\perp \overline{AB}$, $\overline{PA}\perp\overline{AD}$, and $PA = 6$, then what is the volume of $PABCD$?

AdminMod2  Sep 18, 2017

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 #1
avatar+18601 
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Rectangle \(ABCD\) is the base of pyramid \(PABCD\). If \(AB = 8\), \(BC = 4\),
\(\overline{PA}\perp \overline{AB}\), \(\overline{PA}\perp\overline{AD}\), and PA = 6, then what is the volume of \(PABCD\)?

 

\(\begin{array}{|rcll|} \hline V &=& \frac13 \cdot G \cdot h \\ &=& \frac13 \cdot (4\cdot 8) \cdot 6 \\ &=& 4\cdot 8 \cdot 2 \\ &=& 64 \\ \hline \end{array}\)

 

laugh

heureka  Sep 18, 2017
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 #1
avatar+18601 
+2
Best Answer

Rectangle \(ABCD\) is the base of pyramid \(PABCD\). If \(AB = 8\), \(BC = 4\),
\(\overline{PA}\perp \overline{AB}\), \(\overline{PA}\perp\overline{AD}\), and PA = 6, then what is the volume of \(PABCD\)?

 

\(\begin{array}{|rcll|} \hline V &=& \frac13 \cdot G \cdot h \\ &=& \frac13 \cdot (4\cdot 8) \cdot 6 \\ &=& 4\cdot 8 \cdot 2 \\ &=& 64 \\ \hline \end{array}\)

 

laugh

heureka  Sep 18, 2017

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