- #1
dinospamoni
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Homework Statement
The volume shown lies above a square in the (x, y) plane having corners (4, 1), (5, 1), (5, 2), and (4, 2). The remaining two surfaces are planes defined by z1 = 2x + 4y + 7 and z2 = 3x + 6y + 8. The density of this object is 880.y. Determine a) the volume of this object, and b) the mass of this object.
A picture is attached
Homework Equations
I can't use the coding on here, so bear with me:
Volume of a 3D object is given by V=∫∫∫dxdydz
Mass of a 3D object is: m=∫∫∫ρdxdydx
where ρ is the density
The Attempt at a Solution
My setup for the volume is:
∫∫∫dzdxdy
Limits of integration:
2x+4y+7 < z < 3x + 6y + 8.
4<x<5
1<y<2
And for mass:
∫∫∫800y dzdxdy
with the same limits of integration
I've gotten 8.5 and 10333.3 for the volume and mass, respectively, but those are wrong.
Can anyone see what I'm doing wrong?