Question

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

Answer 1

have u made your sketch?

Answer 2

Is it this?

Answer 3

great, so its finding the 'volume' is the hard part.

so we have something like this then

Answer 4

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?