Web Analytics

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

A(2n^6)^3 = 8n^16 cubic units
B(2n^6)^3 = 2n^18 cubic units
C2(n^6)^3 = 2n^18 cubic units
D2(n^6)^3 = 6n^18 cubic units

Verified Answer :

I hope this helps you

View image Anonymous

Answer:

Option A is correct that is \((2n^6)^3=8n^{18}\) cubic units

Step-by-step explanation:

We are given with length of the side of the cube = \(2n^6\:units\)

We need to find volume of the cube.

We know that Volume of cube = ( side )³

                                                   = \((2n^6)^3\)

                                                   = \(2^3(n^6)^3\)

we use the law of exponent, \((x^a)^b=x^{ab}\)

                                                   = \(8n^{6\times3}\)

                                                   = \(8n^{18}\) cubic units

Therefore, Option A is correct that is \((2n^6)^3=8n^{18}\) cubic units