https://file.aiquickdraw.com/mathbot/file/1728466761248triebazn.jpg

To solve this problem, we are given the volume of a cube, \( V = 2070 \, \text{cm}^3 \), and asked to find the length of each side, denoted as \( s \), accurate to two decimal places.

The formula for the volume of a cube is:
\[
V = s^3
\]
To find \( s \), we take the cube root of the volume:
\[
s = \sqrt[3]{V} = \sqrt[3]{2070}
\]

Let's compute this:
\[
s \approx \sqrt[3]{2070} \approx 12.74 \, \text{cm}
\]

So, the length of each side of the cube is approximately **12.74 cm**, which matches the first option in the provided choices.

The correct answer is:
\[
\boxed{12.74 \, \text{cm}}
\]

Would you like more details or have any further questions?

Here are 5 related questions you might want to explore:
1. How do you calculate the volume of a rectangular prism?
2. What is the formula for the surface area of a cube?
3. How does the volume of a cube change if you double the side length?
4. What is the relation between the volume and surface area of a cube?
5. How would you calculate the diagonal of a cube?

**Tip**: When dealing with cubes, remember that all sides are equal, making the calculation of volume and surface area straightforward using simple formulas.

A cube has a volume of 2070 cm³. What is the length of each side? Give answers correct to two decimal places.

Solve for the side length of a cube given its volume of 2070 cm³. Using the formula V = s³, this problem helps students learn how to find the cube root and work with cube dimensions. Suitable for Grades 6-8.

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