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The vault shown is in the shape of a cube of each side is 2y^2 feet, find its volumeThe volume of the Wally is: Simplify

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We have

Side of the cube is 2y^2 feet.

Then, The volume of a cube is given by


V=s^3

Where s = side = 2y^2

So:


V=(2y^2)^3

Apply the exponent law


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

Apply the property of exponents


V=8(y^(2\cdot3))

Multiply


V=8(y^6)

Answer: The volume is


8y^6

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