The correct distinction between body waves and surface waves is:
Surface waves cannot pass through the Earth's mantle but travel along the Earth's crust. They are more destructive than body waves.
Generally, body waves consist of two types: P-waves (primary or compressional waves) and S-waves (secondary or shear waves). P-waves can travel through both the Earth's crust and mantle, while S-waves can only travel through the mantle and not through the outer core.
Surface waves, on the other hand, travel along the surface of the Earth and typically cause more destruction during an earthquake because they have larger amplitudes and longer durations compared to body waves.