Question

The value of cube is 648 under root under 3 centimetre cube find its total surface area.​

Answer 1

Step-by-step explanation:

volume = 648√3 cm³ -------(1)

volume = a³ ----------(2)

from (1) and (2),

a³ = 648√3

a = ∛648√3

  ⇒ ∛3 x 3 x 3 x 2 x 2 x 2 x 3 x √3

a   = ∛3 x 3 x 3 x 2 x 2 x 2 x √3 x √3 x √3

a  = 3 x 2√3

∴ a = 6√3 cm --------(3)

T.S.A of cube = 6a²

                       ⇒ 6 x (6√3)².   (substituting 3)

                       = 6 x 36 x 3

                       = 216 x 3 = 648 cm²

∴ T.S.A of cube = 648 cm²