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1MileCrash
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Homework Statement
Find the mass m of the pyramid with base in the plane z = 9 and sides formed by the three planes y = 0 and y - x = 5 and 6x + y + z = 28, if the density of the solid is given by δ(x,y,z) = y.
Homework Equations
The Attempt at a Solution
This problem is driving me insane. It takes me about 45 minutes of algebra to evaluate this incorrectly set up integral..
I integrated y in the order dz dy dx, limits, respectively:
9 to 28-6x-y
0 to 5+x
0 to 2
Is that correct? I don't really know how to get the limits for x.. this is so hard to picture in my mind!
To get 2, I solved the system 6x + y + z = 28 with z = 9 and y = 5 + x, and for 0, I just guessed.
Help please!