Here's why:
* Intrusive igneous rocks form from magma that cools and solidifies within the Earth's crust. Granite is a classic example.
* Extrusive igneous rocks form from lava that erupts onto the Earth's surface and cools quickly. Examples include basalt and rhyolite.
Since Mount Rushmore is carved into a large granite formation, we know it originated from a slow-cooling magma chamber deep within the Earth's crust.