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Rectangle Pryamid

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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 $PABCD$?

#1
+18771
+2

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 $$PABCD$$?

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

heureka  Sep 18, 2017
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#1
+18771
+2

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 $$PABCD$$?

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

heureka  Sep 18, 2017

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