Find the value of \( \sqrt[3]{27} \)

The value of \( \sqrt[3]{27} \) is 3, since \( 3 \times 3 \times 3 = 27 \). Cube roots are all about finding the number that, when multiplied by itself three times, gives you the original number. So, if you think of it as a little math riddle, the answer to "What number cubed gives 27?" is definitely 3! To visualize this concept, you can think of a cube-shaped box: if each side of the box is 3 units long, then the volume inside (which is what we cube) is \( 3 \times 3 \times 3 = 27 \) cubic units. It's a neat way to see how numbers fit together!