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

Given: The total surface area of a cube is 864 cm2.


We know that the Volume of a cube is given by: 6a2 (here ‘a’ is edge length of cube)


6a2 = 864


a2 = = 144


a = 144


a =12cm


Edge length of the cube is 12cm.


Volume of a cube is given by: a3 (here ‘a’ is the edge length)


Let ‘V’ be the Volume of the given Cube.


V = a3


V = (12)3


V = 1728 cm3


Volume of the given cube is 1728 cm3

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