Question

the surface area of this cube is 2,166 square millimeters. what is the value of n? n = millimeters

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a cube is $S = 6n^{2}$, where $S$ is the surface area and $n$ is the side - length.

Step2: Substitute the given value

We have $2166=6n^{2}$. Then $n^{2}=\frac{2166}{6}=361$.

Step3: Solve for $n$

Taking the square root of both sides, $n=\sqrt{361}=19$ (we take the positive value since length cannot be negative).

Answer:

19