HELP!! Sketch solid Q and find its volume. Q is bounded by surfaces y=x, y=4-x-y and y=2.

Question

anonymous · Answer

have u made your sketch?

anonymous · Answer

|dw:1397853298622:dw|Is it this?

anonymous · Answer

great, so its finding the 'volume' is the hard part.

so we have something like this then
|dw:1397853600368:dw|

anonymous · Answer

I would find the points of each intersection, then I would draw a box around it like this:

then, I would find the area of the two triangles I colored in and SUBTRACT it from the area of the rectangle. that will give us the area we want.

make senes?
|dw:1397853652099:dw|