If you have a cube with a volume of 73.560059, what is the length of the cube? Please show your work

To find the length of a cube when the volume is given, we use the formula for the volume of a cube:

\[
V = s^3
\]

where \( V \) is the volume and \( s \) is the length of a side (edge) of the cube.

Given that the volume \( V \) is 73.560059, we need to solve for \( s \) by taking the cube root of the volume:

\[
s = \sqrt[3]{73.560059}
\]

Calculating the cube root:

\[
s \approx \sqrt[3]{73.560059} \approx 4.222
\]

Thus, the length of each side of the cube is approximately 4.222 units.

Would you like more details or have any questions about this calculation?

Here are five related questions for further exploration:
1. How would the volume change if the length of the cube's side doubled?
2. What would be the surface area of a cube with a side length of 4.222?
3. How do you calculate the diagonal of a cube given the side length?
4. What is the formula for the surface area of a cube, and how is it derived?
5. How does the volume of a cube compare to that of other geometric shapes with the same side length?

**Tip:** Remember, to find the edge length of any cube given its volume, you always take the cube root of the volume.

If you have a cube with a volume of 73.560059, what is the length of the cube? Please show your work.

Learn how to calculate the side length of a cube given a volume of 73.560059. This problem explores key geometry concepts, including the formula for the volume of a cube and how to find the cube root. Suitable for students in Grades 6-8.

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