Question

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

Answer 1

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`