Hell and the Lake of Fire are two different things, though...
There are three places called "hell". One of them is the lake of fire.
There are three Greek words translated "hell": Geenna, Hades, and Tartaroo.
Matthew 10:28 And fear not them which kill the body, but are not able to kill the soul: but rather fear him which is able to
destroy both soul and body in hell.
1067
1067 geenna {gheh'-en-nah}
of Hebrew origin 01516 and 02011; TDNT - 1:657,113; n f
AV - hell 9, hell fire + 3588 + 4442 3; 12
1) Hell is the place of the future punishment call "Gehenna" or
"Gehenna of fire". This was originally the valley of Hinnom,
south of Jerusalem, where the filth and dead animals of the
city were cast out and burned; a fit symbol of the wicked and
their future destruction.
This word is the type of hell that is the final punishment, known as the lake of fire in Revelation.
Matthew 16:18 And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and
the gates of hell shall not prevail against it.
86
86 hades {hah'-dace}
from 1 (as negative particle) and 1492; TDNT - 1:146,22; n pr loc
AV - hell 10, grave 1; 11
1) name Hades or Pluto, the god of the lower regions
2) Orcus, the nether world, the realm of the dead
3) later use of this word: the grave, death, hell
In Biblical Greek it is associated with Orcus, the infernal regions,
a dark and dismal place in the very depths of the earth, the common
receptacle of disembodied spirits. Usually Hades is just the abode of
the wicked, Lu. 16:23, Rev. 20:13,14; a very uncomfortable place. TDNT.
This is not the same hell, but is where the unsaved dead dwell until the day of judgement. Its known as purgatory, death and the grave.
This "hell" is what is cast into and destroyed by the other "Hell" ie: the lake of fire:
Revelation 20:14 And death and hell were cast into the lake of fire. This is the second death.
2 Peter 2:4 For if God spared not the angels that sinned, but
cast them down to hell, and delivered them into chains of darkness, to be reserved unto judgment;
5020
5020 tartaroo {tar-tar-o'-o}
from Tartaros (the deepest abyss of Hades);; v
AV - cast down to hell 1; 1
1) the name of the subterranean region, doleful and dark, regarded by
the ancient Greeks as the abode of the wicked dead, where they suffer
punishment for their evil deeds; it answers to Gehenna of the Jews
2) to thrust down to Tartarus, to hold captive in Tartarus
This is the third word and is a holding place for very evil souls. It is also known as the pit in Revelation where satan is held for 1000 years. It is a special place within Hades.