Metamaterials are artificial structures which exhibit fascinating properties unreachable by traditional materials. Here, we report on the design, fabrication, and characterization of acoustic metasurfaces consisting of dead-end channels coiled in a 2D plane. It is found that when the area of the channel’s cross section is about 1/10 of the area (4.3 cm × 4.3 cm) of the upper surface of the building block, the sound loss in channels approaches to a critical value, resulting in near-perfect absorption (A > 99%) at resonant frequency. When the building block contains ten channels with specially designed lengths, sound waves can be highly absorbed above a cutoff frequency fc (A > 90% for fc < f < 3fc). The wavelength at the cutoff frequency can be 7.1 times of the thickness of the metasurface. Our results could find applications in noise reduction and sound detection.