find a. the mass of the solid. b. the center of mass. c. the moments of inertia about the coordinate axes. A solid cube in the first octant is bounded by the coordinate planes and by the planes x = 1, y = 1, and z = 1. The density of the cube is d(x, y, z) = x + y + z + 1.

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find

a. the mass of the solid.

b. the center of mass.

c. the moments of inertia about the coordinate axes.

A solid cube in the first octant is bounded by the coordinate planes and by the planes x = 1, y = 1, and z = 1. The density of the cube is d(x, y, z) = x + y + z + 1.

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