Question

the volume of this cube is 6,859 cubic millimeters. what is the value of u?

Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube is given by \( V = u^{3} \), where \( u \) is the side - length of the cube. We know that \( V=6859\). So, \( u^{3}=6859 \).

Step2: Find the cube - root of 6859

We need to find \( u=\sqrt[3]{6859} \).
Since \( 19\times19\times19 = 19^{3}=6859 \) (because \(19\times19 = 361\) and \(361\times19=(360 + 1)\times19=360\times19+1\times19=6840+19 = 6859\)).

Answer:

\(19\)