An unanchored 3-D portable archery target made of foam can withstand a 20 to 150-pound blow from an arrow without tipping completely over even though the target's weight (e.g., about 10 lbs.) is less than the arrow's force of impact. To achieve such surprising and unexpected results, the target employs a unique combination of weight, foam density, and a center of gravity that is counter-intuitively elevated to provide the target with a greater rotational moment of inertia. Although it would seem that an arrow with 800 in-lbs of kinetic energy should be capable of completely tipping over a target that requires only about 15 in-lbs of energy to tip over, the target's foam core has a density and gumminess that quickly dissipates most of the arrow's kinetic energy before the energy has time to tip the target over. A hollowed-out base underneath the target provides the target with greater stability.