Question

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

a.(2n^6)^3=8n^18 cubic units
b. (2n^6)^3=2n^18 cubic units
c. 2(n^6)^3=2n^18 cubic units
d. 2(n^6)^3=6n^18 cubic units

Answer 1

We have this as:

8n^18 cubic units

Explanation:

Mathematically, the volume of a cube is simply the length of its side cubed

V = l^3

Here;

l = 2n^6

So we have the volume as:

V = (2n^6)^3

= 2n^6 * 2n^6 * 2n^6 = 8 * n^(6 + 6+ 6)

= 8n^18 cubic units