In addition to the answers from Elke Weiss and Niko Vasileas, note the wrinkle thrown up by Sheol: there is some evidence that Sheol is anthropomorphic in the Hebrew Scriptures, with a womb, a hand, and a mouth.
So Sheol corresponds to the House of Hades, the place (as indeed is the Christian usage of Hades: Christian views on Hades). But the Septuagint translators might have had motivation to map Sheol to Hades himself.