Question

the volume of this cube is 2,744 cubic centimeters. what is the value of t? t = centimeters

Explanation:

Step1: Recall volume formula for cube

The volume formula of a cube is $V = t^{3}$, where $V$ is the volume and $t$ is the side - length of the cube. Given $V = 2744$ cubic centimeters, we have the equation $t^{3}=2744$.

Step2: Solve for $t$

To find $t$, we take the cube - root of both sides of the equation. So, $t=\sqrt[3]{2744}$. Since $14\times14\times14 = 2744$, then $t = 14$.

Answer:

14