Question

what power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent and then find the volume of the cube

Answer 1

volume of the cube will be=
`((1)/(3))^(3)=((3)^(-1))^(3)=(3)^(-3)`.

Explanation:

It is given that the side of the cube is =
`(1)/(3)in`

Now, the volume of the cube=
`(side)^(3)`

Thus, using the side of the cube, volume of the cube will be=
`((1)/(3))^(3)=((3)^(-1))^(3)=(3)^(-3)`.

Thus, -3 will be the power that represents the volume of the cube.

Answer 2

The power for the volume of the cube is '3'.

Exponent form of the volume is
`((1)/(3))^3`

Volume of the cube is
`(1)/(27)` inch³.

Explanation:

We are given,

A cube with side equal to
`(1)/(3)` inches.

As we know,

Volume of a cube =
`side^(3)`

Thus, we get,

Volume of the given cube is,

Volume =
`((1)/(3))^3`

i.e. Volume =
`(1)/(27)` inch³

Thus, we have,

The power for the volume of the cube is '3'.

Exponent form of the volume is
`((1)/(3))^3`

Volume of the cube is
`(1)/(27)` inch³.