A thin rectangular sheet of steel is $0\mathrm{.}3$ m by $0\mathrm{.}4$ m and has a mass of $24$ kg$.$ Find the moment of inertia about

an axis:

a$)$ through the center, parallel to the long sides?

b$)$ through the center, parallel to the short sides?

c$)$ through the center, perpendicular to the plane?