Question

Which equation finds the volume of a cube with a side length of 2n^6 units?

Answer 1

Answer:

Step-by-step explanation:

The answer is a

Answer 2

Given:

Side length of a cube is $2n^6$ units.

To find:

The equation for the volume of the cube.

Solution:

We know that, the volume of a cube is:

$V=a^3$

Where, a is the side length of the cube.

Putting $a=2n^6$, we get

$V=(2n^6)^3$

$V=(2)^3(n^6)^3$          $[\because (ab)^m=a^mb^m]$

$V=8(n^{6\times 3})$         $[\because (a^m)^n=a^{mn}]$

$V=8n^{18}$  

So, the volume of the cube is $(2n^6)^3=8n^{18}$ cubic units.

Therefore, the correct option is A.