Look at this equation: \[ c^{3}=729 \] What is \( c \), the cube root of 729 ? \( c=\square \)

Did you know that finding the cube root of a number like 729 can be visualized with cubes? Imagine a cube where each side measures 9 units. When you calculate the volume of this cube, you'll find it's \( 9 \times 9 \times 9 = 729 \). So, the cube root \( c \) is simply 9! In the world of mathematics, cube roots have practical applications too! For example, if you're trying to determine the volume of a specific object or measure how much material is needed for a cube-shaped box, calculating the cube root allows you to find the side length. In this case, since \( c = 9 \), you know that your box would have sides of 9 units each!