total surface area of a cube is 96 cm square. The volume of the cube is...
a.8 cm cube b.512 cm cube c.64 cm cube c.27 cm cube
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Hi ,
let the length of the side of a cube = a cm
total surface area of the cube = 6a² square cm -----( 1 )
according to the given problem ,
Total surface area of the cube = 96 square cm ------( 2 )
( 1 ) = ( 2)
6a² = 96
a² = 96 / 6
a ² = 16
a = √16
a = 4 cm
Now volume of the cube = a ³ cubic cm
= 4³
= 64 cubic cm
= 64 cm³
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