Disclosed is a cutting wheel which comprises a body with a bonding material. The bonding material accounts for at least about 31 vol% of the total volume of the body. In addition, the body comprises abrasive particles contained in the bonding material, the abrasive particles include abrasive particles, containing black alumina, of a first type, and at least about 10 vol% of the total volume of the abrasive particles include the black alumina. Under certain circumstances, the cutting wheel can comprise a cutting saw, and under other circumstances, the cutting wheel can comprise a cutting-off wheel.