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# The volume of a triangular pyramid is given by the formula $V=\frac{1}{3} B h,$ where $B$ represents the area of the triangular base and $h$ is the height of the pyramid. Find the volume of a triangular pyramid whose height is given and whose base has the coordinates shown. Assume units are in m.$$h=6 \mathrm{m} ; \text { vertices }(3,5),(-4,2), \text { and }(-1,6)$$

## $$19 \mathrm{m}^{3}$$

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Babes Bolyai University

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