Typically used for general cleanout of garage, basement, attic, etc., as well as construction/renovation projects, and roofing jobs. Price of dumpster rental includes four tons of material. If it weighs more than four tons, you will be charged $100.00 per ton over in Connecticut and $115.00 per ton over in Rhode Island. Price also includes one week of rental. After one week you will be charged $25.00 per week.