While some dumpsters weigh about as much as a car when filled, larger sizes may be heavy enough to damage a standard driveway. You can prevent your driveway from being scratched by putting down a barrier of plywood and lumber. You’ll need a standard sheet of ¾-inch plywood and a piece of two-by-four lumber that measures 8 ft. long to place under the wheels and feet of the dumpster. If you are renting a dumpster for heavy material such as concrete, you may apply for a permit to have your dumpster placed on the street.