SOLUTION: Not really sure how to approach this Find the volume of the figure bounded by the following planes. x + z = -3 10x - 3z = 22 4x - 9z = -38 y = -4 y = 10 I

Algebra ->  Vectors -> SOLUTION: Not really sure how to approach this Find the volume of the figure bounded by the following planes. x + z = -3 10x - 3z = 22 4x - 9z = -38 y = -4 y = 10 I      Log On


   

Question 388402: Not really sure how to approach this

Find the volume of the figure bounded by the following planes.

x + z = -3
10x - 3z = 22
4x - 9z = -38
y = -4
y = 10


If you can either help with how to approach this or an actual solution, that would be great ^^
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the x-z plane.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C-3-x%2C%2810x-22%29%2F3%2C%284x%2B38%29%2F9%29
Find the area of the triangle bounded by the lines.
.
.
.
Once you have the area, the volume is the area multiplied by the y depth which is equal to 10-%28-4%29=14
.
.
.
The shape is a triangular prism.
highlight%28V=14A%29
.
.
.