The total surface area of a cube is 864 cm2. Its volume is

(c) 1728 cm3
Let the edge of the cube be a.
Total surface area of the cube = 6a2
Therefore,

$6 a^{2}=864$

$a^{2}=144$

$a=12 \mathrm{~cm}$

Therefore, volume of the cube = a3

$=(12 \times 12 \times 12) \mathrm{cm}^{3}$

$=1728 \mathrm{~cm}^{3}$