The base of a triangular pyramid is a triangle with corners at (7 ,3 ), (4 ,1 ), and (3 ,2 ). If the pyramid has a height of 7 , what is the pyramid's volume?

May 26, 2018

Pyramid's volume$= \frac{35}{3}$

Explanation:

Area of the triangle ABC =
Area of the triangle ABC $= 4 \left(3 - 2\right) - 7 \left(1 - 2\right) + 3 \left(1 - 3\right)$

Area of the triangle ABC $= 4 + 7 - 6$

Area of the triangle ABC $= 5$

Pyramid's volume$= \frac{A H}{3}$

Pyramid's volume$= \frac{5 \times 7}{3}$

Pyramid's volume$= \frac{35}{3}$