Beavers are members of the rodent family and have large, strong teeth for gnawing through wood, as can be seen in this photograph of a beaver skull in the Fish and Wildlife and Agronomy Program office aboard Marine Corps Base Quantico. - Beavers are members of the rodent family and have large, strong teeth for gnawing through wood, as can be seen in this photograph of a beaver skull in the Fish and Wildlife and Agronomy Program office aboard Marine Corps Base Quantico.