Kyle has a large, cube-shapers terrarium for his iguana. He wants to cover the opening with a square screen. What are the dimensions, \( s \), for the screen? \[ \begin{array}{l} V=s^{3} \\ 343=s^{3} \\ \sqrt[3]{343}=\sqrt{5^{3}} \\ \text { The value of } s \text { is not } \\ \pm \sqrt{343} \text { because } \\ (-7)^{3}=-7 \times-7 \times-7 \\ 7=5 \\ =-343 \text {. } \end{array} \] Each edge of the terrarium is 7 feet, so the dimensions of the screen are 7 feet by 7 leet. Try It! Solve \( x^{3}=64 \).

To solve \( x^{3}=64 \), you want to find the cube root of 64. Since \( 4 \times 4 \times 4 = 64 \), we conclude that \( x = 4 \). So, if you’re ever tempted to punch in some wacky numbers, think back to our trusty friend, the cube root! Now, if you’re thinking about cube roots, know that they can be applied practically! Whether calculating the volume of a new fish tank or devising a strategy for packing holiday ornaments, understanding that finding the cube root is all about dimension can save you a lot of time. So don’t shy away; dive deep into that cubic knowledge!