Acoustic geometric and acoustic cyclotron resonances in high-purity single crystals of gallium were investigated at 1.3 \ifmmode^\circ\else\textdegree\fi{}K and in the normal geometry where the magnetic field is perpendicular to the wave vector of the ultrasonic waves. These waves, polarized longitudinally and of frequencies in the range 60-400 MHz, were propagated along the three principal crystallographic axes $a$, $b$, and $c$ of gallium. The extremal dimensions of the Fermi surface in the ${k}_{a}{k}_{b}$, ${k}_{b}{k}_{c}$, and ${k}_{c}{k}_{a}$ planes, obtained by measuring the periodicity $\ensuremath{\Delta}(\frac{1}{H})$, of the geometric-resonance oscillations, are compared with the predictions of the augmented-planewave and pseudopotential models. The results are in good agreement with the values given by the pseudopotential model. A map of effective masses in the $\mathrm{ab}$, $\mathrm{bc}$, and $\mathrm{ca}$ planes, obtained from acoustic-cyclotron-resonance experiments, is given. These data are compared to those of Moore, who used the Azbel'-Kaner cyclotron resonance (AKCR). Some branches of effective masses were found which have not been observed by AKCR and, reciprocally, many resonances observed by AKCR were not observed in the present work.