In a game , unit cubes can be joined to form a cuboid. A child used 13824 unit cubes to form a big cube . Find the no. of cubes used along one side of the cube.

To find the number of cubes along one side of the cube, we can use the formula for the volume of a cube, which is:

\[
\text{Volume} = s^3
\]

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

The total number of unit cubes used is 13824. Since the volume is equal to the number of unit cubes in the larger cube, we have:

\[
s^3 = 13824
\]

Now, we need to find \( s \), the cube root of 13824. Taking the cube root of both sides:

\[
s = \sqrt[3]{13824} = 24
\]

So, the number of cubes along one side of the cube is \( \boxed{24} \).

Would you like more details on how cube roots are calculated?

Here are 5 related questions:
1. What is the formula for the volume of a cuboid?
2. How do you calculate the surface area of a cube if the side length is known?
3. If the number of cubes used was 512, what would be the length of one side?
4. Can a cube with a fractional side length be formed from unit cubes?
5. What is the difference between a cube and a cuboid?

**Tip**: Remember that the cube of a number is that number multiplied by itself twice (e.g., \(3^3 = 3 \times 3 \times 3\)).

In a game, unit cubes can be joined to form a cuboid. A child used 13824 unit cubes to form a big cube. Find the number of cubes used along one side of the cube.

Discover how to calculate the side length of a large cube formed by 13824 unit cubes. This solution covers essential geometry concepts such as the volume of a cube and cube roots, perfect for students in Grades 6-8.

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