וְהָכִ֥ונוּ לְבֵית־אֲבוֹתֵיכֶ֖ם כְּמַחְלְקוֹתֵיכֶ֑ם בִּכְתָ֗ב דָּוִיד֙ מֶ֣לֶךְ יִשְׂרָאֵ֔ל וּבְמִכְתַּ֖ב שְׁלֹמֹ֥ה בְנֽוֹ׃
E preparatevi secondo le vostre case paterne, secondo le vostre divisioni, conformemente allo scritto di Davide, re d'Israele, e allo scritto di Salomone, suo figlio.
Or HaChaim
If we apply just a little intelligence to the problem we will find that there is no problem at all. We must realise that Solomon did not build either his Temple or its furnishings according to arbitrary considerations. He was not motivated by the desire to erect a magnificent edifice which would confer glory on its builder. He followed instructions received from the prophet. The prophet told Solomon that the very measurements he told him about were an ancient tradition (Chronicles I 28,11) where David handed Solomon the exact blueprints of the Sanctuary he himself had not been allowed to build. Every little detail had been ordained by G'd, and Rashi explains that the prophet Samuel had received the detailed instructions about the shape and size of the Temple from G'd. We have a story in Midrash Shemuel chapter 15 according to which Rabbi Yirmiyah in the name of Rabbi Shimon related that G'd had given Moses the details of the eventual Temple while the latter was standing. Moses transmitted the information to Joshua while the latter was standing; Joshua in turn conveyed this information to the elders while they were standing; they in turn conveyed it to David while the latter was standing. David relayed the information to his son Solomon. At that point everything had already been committed to writing as mentioned in Chronicles II 35,4 by king Yoshiyahu. All this proves that all these details had been handed down from generation to generation. Thus far the words of the Midrash. You will have noted that whatever Solomon did was based on higher authority. This is what we call הלכה למשה מסיני.