the volume of a cube is 729m^3. length of its side is?

The volume \( V \) of a cube is given by the formula:

\[
V = s^3
\]

where \( s \) is the length of the side of the cube. Given that the volume is \( 729 \, \text{m}^3 \), we can solve for \( s \) by taking the cube root of 729:

\[
s = \sqrt[3]{729} = 9 \, \text{m}
\]

So, the length of each side of the cube is \( 9 \, \text{m} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the surface area of a cube with a side length of 9 m?
2. If the side length is doubled, what will be the new volume of the cube?
3. How would the side length change if the volume were 1,000 \( \text{m}^3 \)?
4. What is the total edge length of the cube?
5. How does the volume of a cube change as its side length triples?

**Tip:** The volume of a cube increases very quickly with even small increases in side length since it is proportional to the cube of the side length.

The volume of a cube is 729m^3. Length of its side is?

Learn how to find the side length of a cube when its volume is 729m^3. Using the formula for the volume of a cube (V = s^3) and taking the cube root, we determine that the side length is 9m. This explanation is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation