Duplicate, see C#: Getting size of a value-type variable at runtime?.

However:

public static class Utils
{
    public static int SizeOf<T>(T obj)
    {
        return SizeOfCache<T>.SizeOf;
    }

    private static class SizeOfCache<T>
    {
        public static readonly int SizeOf;

        static SizeOfCache()
        {
            var dm = new DynamicMethod("func", typeof(int),
                                   Type.EmptyTypes, typeof(Utils));

            ILGenerator il = dm.GetILGenerator();
            il.Emit(OpCodes.Sizeof, typeof(T));
            il.Emit(OpCodes.Ret);

            var func = (Func<int>)dm.CreateDelegate(typeof(Func<int>));
            SizeOf = func();
        }
    }
}