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

Answer:

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

Exponent form of the volume is $(\frac{1}{3})^3$

Volume of the cube is $\frac{1}{27}$ inch³.

Step-by-step explanation:

We are given,

A cube with side equal to $\frac{1}{3}$ inches.

As we know,

Volume of a cube = $side^{3}$

Thus, we get,

Volume of the given cube is,

Volume = $(\frac{1}{3})^3$

i.e. Volume = $\frac{1}{27}$ inch³

Thus, we have,

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

Exponent form of the volume is $(\frac{1}{3})^3$

Volume of the cube is $\frac{1}{27}$ inch³.

Answer 2

Answer:

volume of the cube will be=$(\frac{1}{3})^{3}=((3)^{-1})^{3}=(3)^{-3}$.

Step-by-step explanation:

It is given that the side of the cube is =$\frac{1}{3}in$

Now, the volume of the cube= $(side)^{3}$

Thus, using the side of the cube, volume of the cube will be=$(\frac{1}{3})^{3}=((3)^{-1})^{3}=(3)^{-3}$.

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