Question

the volume of this cube is 4,096 cubic centimeters. what is the value of b? b = centimeters

Explanation:

Step1: Recall cube - volume formula

The volume formula of a cube is $V = b^{3}$, where $V$ is the volume and $b$ is the side - length of the cube.

Step2: Solve for $b$

Given $V = 4096$ cubic centimeters, we have the equation $b^{3}=4096$. Taking the cube - root of both sides, $b=\sqrt[3]{4096}$.
Since $16\times16\times16 = 4096$, $\sqrt[3]{4096}=16$.

Answer:

16