Question

The equation of a plane in space is x + 3y + 2z = 6.. a.)Accurately sketch the plane on the set of axes, showing all your calculations below.. b.)The three planes of the axes and the plane you have sketched create a triangular pyramid. Find the volume of this pyramid, showing the formula you are using and make a graph from your answer.

Answer 1

In getting the value of X, Y and Z in the equations X+3Y+2Z = 6 you must first substitute the variables into 0 and came up with the value of X=6, Y=2, and Z =3. So the volume of this pyramid is computed using V=1/3AH and the volume is 9. i hope you are satisfied with my answer