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MATH / Rectangle ABCD is the base of pyramid PABCD. If AB=3, BC=2, (PA)¯⊥(AD)¯, (PA)¯⊥(AB)¯, and PC=5, then what is the volume of PABCD?

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problem

Rectangle ABCDABCD is the base of pyramid PABCDPABCD. If AB=3AB = 3, BC=2BC = 2, PA¯⊥AD¯\overline{PA}\perp \overline{AD}, PA¯⊥AB¯\overline{PA}\perp \overline{AB}, and PC=5PC = 5, then what is the volume of PABCDPABCD?
Plain-text mathematical notation (without MathML)
Rectangle ABCD is the base of pyramid PABCD. If AB=3, BC=2, (PA)¯⊥(AD)¯, (PA)¯⊥(AB)¯, and PC=5, then what is the volume of PABCD?
Original LaTeX notation
Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 3$, $BC = 2$, $\overline{PA}\perp \overline{AD}$, $\overline{PA}\perp \overline{AB}$, and $PC = 5$, then what is the volume of $PABCD$?

level

Level 5

type

Geometry

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