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(c) 24

$\sqrt[3]{216 \times 64}=\sqrt[3]{216} \times \sqrt[3]{64}=\sqrt[3]{2 \times 2 \times 2 \times 3 \times 3 \times 3} \times \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\sqrt[3]{216 \times 64}=\sqrt[3]{(2)^{3} \times(3)^{3}} \times \sqrt[3]{(2)^{3} \times(2)^{3}}=\sqrt[3]{(6)^{3}} \times \sqrt[3]{(4)^{3}}$

$\sqrt[3]{216 \times 64}=6 \times 4=24$

$\therefore \sqrt[3]{216 \times 64}=24$