A cube has a volume of 2744cm3.show how you could determine the length of one side of the cube. Show all steps!  

To determine the length of one side of a cube given its volume, we can follow these steps:

### Step 1: Formula for the volume of a cube
The formula for the volume \( V \) of a cube is:

\[
V = s^3
\]

where \( s \) is the length of one side of the cube.

### Step 2: Substitute the given volume into the formula
We are given that the volume of the cube is \( 2744 \, \text{cm}^3 \). So, we substitute this value into the volume formula:

\[
2744 = s^3
\]

### Step 3: Solve for \( s \)
To find the value of \( s \), we need to take the cube root of both sides of the equation:

\[
s = \sqrt[3]{2744}
\]

### Step 4: Calculate the cube root
We now calculate the cube root of \( 2744 \):

\[
s = 14 \, \text{cm}
\]

### Conclusion:
The length of one side of the cube is **14 cm**.

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Would you like further details or have any other questions?

Here are 5 related questions:
1. How do you calculate the surface area of the cube if each side is 14 cm?
2. What is the formula for the diagonal of a cube, and how can you apply it here?
3. How would the volume change if the side length doubled?
4. What would the side length be if the volume was halved?
5. How is the cube root different from the square root?

**Tip:** The cube root of a number is the value that, when multiplied by itself three times, gives the original number.

A cube has a volume of 2744cm3. Show how you could determine the length of one side of the cube. Show all steps!

Learn how to determine the side length of a cube with a given volume of 2744 cm³. This step-by-step solution involves key geometric concepts and the formula for cube volume. Suitable for students in Grades 6-8.

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