Respuesta :

Given:-

[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].

To Find:-

[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]

Formula Used:-

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]

Solution:-

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

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Hope it helps you:)

Answer:

Step-by-step explanation:

there are 6 square faces of a cube.

if side=x

surface area=6x²

=6(1/3)²

=6/9

=2/3 square foot