Properties of Solids

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Properties of Rectangular Block
Centroid from yz-plane C_x	Centroid from zx-plane C_y	Centroid from xy-plane C_z


Surface Area Lateral Area + Base Area	Volume	Mass


Mass Moment of Inertia about the x axis I_xx	Mass Moment of Inertia about the y axis I_yy	Mass Moment of Inertia about the z axis I_zz


Radius of Gyration about the x axis k_xx	Radius of Gyration about the y axis k_yy	Radius of Gyration about the z axis k_zz


Moment of Inertia about the centroidal x axis ( x_c ) I_XcXc	Moment of Inertia about the centroidal y axis ( y_c ) I_YcYc	Moment of Inertia about the centroidal z axis ( z_c ) I_ZcZc


Radius of Gyration about the centroidal x axis ( x_c ) k_XcXc	Radius of Gyration about the centroidal y axis ( y_c ) k_YcYc	Radius of Gyration about the centroidal z axis ( z_c ) k_ZcZc


Moment of Inertia about the x₁ axis I_X1X1	Moment of Inertia about the y₁ axis I_Y1Y1	Moment of Inertia about the z₁ axis I_Z1Z1


Radius of Gyration about the x₁ axis k_X1X1	Radius of Gyration about the y₁ axis k_Y1Y1	Radius of Gyration about the z₁ axis k_Z1Z1


NOTE: is the mass of the entire body. is the density of the body. is the outer radius of the body. All of the above results assume that the body has constant density. For none constant density see the general integral forms of Mass, Mass Moment of Inertia, and Mass Radius of Gyration.