Question
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
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
Ask by Lowe Vaughan. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
When you need to find the side length of a cube given its volume, you use the cube root.
Solution
-
The volume
of a cube is given by the formula whereis the side length of the cube. -
To find the side length
when the volume is known, you solve for by taking the cube root of the volume: This means that when determining the side of a cube from its volume, you require the use of the cube root. -
Therefore, the correct situation is:
Determining the side of a cube when given the volume.
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Simplify this solution Extra Insights
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
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!
