Question

what is the vplume of cube whose total surface area is 864 cm square

Answer 1

let each edge of the cube be 'a' .

surface area=6a2
surface area=864 cm2

6a2=864 cm2

a=(864/6)2=12 cm

v=a3

=12 cube

=1728 cm cube

Answer 2

Given ;
T.S.A of a cube = 864 cm square

6a^2 = 864
a = √144
a = 12 cm
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Volume of a cube = a^3
= (12)^3
= 1728 cm cube
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