 one tile is 3x30. In a pack are 11 tiles. My balcony is 187,5 cm x 314 cm. How many packs do i need?

To determine how many packs of tiles you need for your balcony, we need to follow these steps:

1. **Calculate the area of the balcony:**
   \[
   \text{Area of balcony} = 187.5 \, \text{cm} \times 314 \, \text{cm} = 58875 \, \text{cm}^2
   \]

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:**
   \[
   \text{Number of packs needed} = \frac{58875 \, \text{cm}^2}{990 \, \text{cm}^2} \approx 59.41
   \]

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 centimeters?
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 needed to cover a balcony with dimensions 187.5 cm x 314 cm. Detailed step-by-step solution includes calculating the balcony area, tile area per pack, and rounding up to the nearest whole number of packs required. Suitable for Grades 6-8.

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