Which situation requires the use of the cube root? Determining the surface area of a cube when given the side Determining the volume of a sphere when given the radius Determining the volume of a cube when given the side Determining the side of a cube when given the volume

To determine the side of a cube when given the volume, you need to use the cube root. The volume of a cube is calculated using the formula \( V = s^3 \), where \( s \) is the length of a side. To find the side length when you know the volume, you take the cube root of the volume: \( s = \sqrt[3]{V} \). In practical scenarios, cube roots are often encountered in architecture and construction. For example, when designing a storage unit or a water tank, knowing the volume allows engineers to calculate the necessary dimensions to achieve the desired capacity, ensuring no space is wasted. So, the next time you're building something cubic, just remember the cube root is your best friend!