Question

A small wedge had the shape of the region

Q={(x,y,z)|-1<=x<=1,0<=y<=2,0<=z<=y}
Find its mass if the density at any point (x,y,z) it
gives by the density function
p(x,y,z) = 1 + x2 + y2 gram/cm3 and
the dimensions for Q are in cm.

Give answer in grams to the nearest gram.

Answer 1

40/3 grams. Do a triple integral (dzdydx) of your function, and that will give you the mass in grams (since your x, y and z are measured in cm).