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We report on measurements of branching fractions ($\mathcal{B}$) andCP-violating charge asymmetries ($\mathcal{A}_{\rm CP}$) of multibody charmless$B$ decays reconstructed by the Belle II experiment at the SuperKEKBelectron-positron collider. We use a sample of collisions collected in 2019 and2020 at the $\Upsilon(4S)$ resonance and corresponding to $62.8$ fb$^{-1}$ ofintegrated luminosity. We use simulation to determine optimized eventselections. The $\Delta E$ and $M_{\rm bc}$ distributions of the resultingsamples are fit to determine signal yields of approximately 690, 840, and 380decays for the channels $B^+ \to K^+K^-K^+$, $B^+ \to K^+\pi^-\pi^+$, and $B^0\to K^+\pi^-\pi^0$, respectively. These yields are corrected for efficienciesdetermined from simulation and control data samples to obtain $\mathcal{B}(B^+\to K^+K^-K^+) = [35.8 \pm 1.6(\rm stat) \pm 1.4 (\rm syst)]\times 10^{-6}$,$\mathcal{B}(B^+ \to K^+\pi^-\pi^+) = [67.0 \pm 3.3 (\rm stat)\pm 2.3 (\rmsyst)]\times 10^{-6}$, $\mathcal{B}(B^0 \to K^+\pi^-\pi^0) = [38.1 \pm 3.5 (\rmstat)\pm 3.9 (\rm syst)]\times 10^{-6}$, $\mathcal{A}_{\rm CP}(B^+ \toK^+K^-K^+) = -0.103 \pm 0.042(\rm stat) \pm 0.020 (\rm syst)$,$\mathcal{A}_{\rm CP}(B^+ \to K^+\pi^-\pi^+) = -0.010 \pm 0.050 (\rm stat)\pm0.021(\rm syst)$, and $\mathcal{A}_{\rm CP}(B^0 \to K^+\pi^-\pi^0) = 0.207 \pm0.088 (\rm stat)\pm 0.011(\rm syst)$. Results are consistent with previousmeasurements and demonstrate detector performance comparable with the bestBelle results.

Measurements of branching fractions and CP-violating charge asymmetries in multibody charmless $B$ decays reconstructed in 2019-2020 Belle II data