If it were molten, it would be called magma.
the mantle
Lava is molten rock. The rock deep inside the earths mantle is always molten, and when it occasionally breaks through to the surface, the opening is called a volcano, and the liquid rock spilling out of the top is lava.
The mantle is dominantly solid. Any molten material within it is generally called "melt" (used as a noun). It could also be correctly referred to as magma, but this usage is less common.
The asthenosphere is a plastic layer of rock located in the upper mantle, below the lithosphere (earth's crust and uppermost mantle). It is responsible for the movement of tectonic plates due to its partially molten and ductile nature.
If anything is rock-solid, it will result in a flat landscape. This will mean that there will be no plateaus, deep sea trenches, volcanoes or mountains if the mantle were solid rock.
lava
lava
molten rock
hot molten rock
The mantle is the hot rock.
It's very high temperature down in mantle so it resulting a solid rock to change into "molten" state. The molten material in the mantle is magma.
The soft layer of rock in the Earth's mantle is called the asthenoshere. The asthenoshere is a solid but able to flow slowly.