Respuesta :

We have

Side of the cube is 2y^2 feet.

Then, The volume of a cube is given by

[tex]V=s^3[/tex]

Where s = side = 2y^2

So:

[tex]V=(2y^2)^3[/tex]

Apply the exponent law

[tex]\begin{gathered} V=2^3\cdot(y^2)^3 \\ V=8(y^2)^3 \end{gathered}[/tex]

Apply the property of exponents

[tex]V=8(y^{2\cdot3})[/tex]

Multiply

[tex]V=8(y^6)[/tex]

Answer: The volume is

[tex]8y^6[/tex]

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