Question

The volume of a cube is found by using the formula Alta third power where else side length if the side length is 4X to the third power what is the volume of the cube

Answer 1

Volume of the cube is
`64x^9`.

Explanation:

Given:

Volume of the cube
`V = L^3`

where
`L` ⇒ side length

side length
`L =4x^3`

We need to find the Volume of the cube.

Solution:

Now we know that;

Volume of the cube
`V = L^3`

But side length
`L =4x^3`

So we will substitute the value of L in above equation we get;

Volume of the cube
`V = L^3=(4x^3)^3`

Now by using Law of indices which states
`(a^m)^n=a^(mn)`

So we can say that;

Volume of the cube
`V = L^3=(4x^3)^3=4^3x^(3*3)=64x^9`

Hence Volume of the cube is
`64x^9`.