My balcony total area is 5.89 m2. One pack contains 11 squares of floor tiles. How many packs do I need for my balcony?

Given the total area of your balcony and the specifications of the tiles, we can calculate the number of packs needed as follows:

1. **Convert the total area of the balcony to square centimeters** (since the area of tiles is typically given in cm², it's better to convert everything to the same unit for easier calculations):
   \[
   5.89 \, \text{m}^2 = 5.89 \times 10,000 \, \text{cm}^2 = 58,900 \, \text{cm}^2
   \]

2. **Calculate the area of one tile**:
   \[
   \text{Area of one tile} = 3 \, \text{cm} \times 30 \, \text{cm} = 90 \, \text{cm}^2
   \]

3. **Calculate the total area covered by one pack of tiles**:
   \[
   \text{Total area covered by one pack} = 11 \, \text{tiles} \times 90 \, \text{cm}^2 = 990 \, \text{cm}^2
   \]

4. **Calculate the number of packs needed**:
   \[
   \text{Number of packs needed} = \frac{58,900 \, \text{cm}^2}{990 \, \text{cm}^2} \approx 59.49
   \]

Since you cannot purchase a fraction of a pack, you need to round up to the nearest whole number:
\[
\text{Number of packs needed} = 60
\]

Therefore, you will need **60 packs** of tiles to cover your balcony.

Would you like more details or have any questions?

Here are 5 questions you might consider asking next:
1. How do I calculate the cost if each pack of tiles is $X?
2. What if there is waste or cutting losses, how many extra packs should I get?
3. How do I convert the measurements if the dimensions were given in feet instead of meters?
4. How can I calculate the number of tiles needed if the shape of the balcony was not a perfect rectangle?
5. How do I handle different tile patterns (e.g., herringbone, brick) and their impact on tile quantity?

**Tip:** Always buy a few extra tiles to account for cutting and breakage.

Learn how to calculate the number of tile packs required to cover a 5.89 square meter balcony. This problem involves converting units, calculating area, and rounding up to the nearest whole number. Suitable for students in Grades 6-8.

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