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Let the side of the cube=x
Volume of cube=x^3..(1)
T.S.A of cube=6x^2.. (2)
ACCORDING TO THE PROBLEM,
Volume of cube=3root3a^3
=root3×root3×root3 a^3
=root3a^3.. (3)
(1)=(3)
x^3=(root3a)^3
Therefore,
x=root 3 a
T.S.A of cube=6x^2..(from 1)
=6×(root 3 a)^2
=6×(root 3 a)×(root 3 a)
=6×3×a^2
=18a^2
Therefore..Total surface area of cube=18a^2
Volume of cube=x^3..(1)
T.S.A of cube=6x^2.. (2)
ACCORDING TO THE PROBLEM,
Volume of cube=3root3a^3
=root3×root3×root3 a^3
=root3a^3.. (3)
(1)=(3)
x^3=(root3a)^3
Therefore,
x=root 3 a
T.S.A of cube=6x^2..(from 1)
=6×(root 3 a)^2
=6×(root 3 a)×(root 3 a)
=6×3×a^2
=18a^2
Therefore..Total surface area of cube=18a^2
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