Question

Сколько максимально потребуется кабельных плиток квадратной формы и с какими размерами,чтобы облицевать ими квадратную стену в школьной столовой имеющую площадь 70.56м2 если известно что вдоль стены целиком укладываются 46 таких плиток,и сторона плитки выражена целым числом сантиметров???

Answer 1

Найдем длину стены столовой=√70.56=8.4м
найдем длину плитки=8,4:32=0.2625м
найдем площадь плитки=0.2625²=0.06890625м
найдем количество плиток=70.56:0.06890625=1024шт

Answer 2

Calculating the Number and Size of Square Tiles Needed to Cover a Wall

To calculate the maximum number of square tiles needed to cover a wall and their dimensions, we can use the following approach:

1. Calculate the Number of Tiles: - First, we need to calculate the total number of tiles required to cover the wall. - We know that 46 tiles can be laid along the entire length of the wall.

2. Calculate the Size of Each Tile: - Next, we need to determine the size of each tile in square centimeters. - The size of each tile is expressed as a whole number of centimeters.

3. Determine the Area of the Wall: - The area of the wall is given as 70.56 square meters.

4. Calculate the Dimensions of Each Tile: - Using the total number of tiles and the area of the wall, we can calculate the dimensions of each tile.

Let's proceed with the calculations based on the given information.

Calculation Process

1. Calculate the Number of Tiles: - The total number of tiles required to cover the wall can be calculated by dividing the area of the wall by the area of one tile.

- The formula to calculate the number of tiles is: \[ \text{Number of tiles} = \frac{\text{Area of the wall}}{\text{Area of one tile}} \]

- Substituting the given values: \[ \text{Number of tiles} = \frac{70.56}{46} \]

- Calculating the number of tiles: \[ \text{Number of tiles} = 1.536 \]

- Since the number of tiles must be a whole number, we will round up to the nearest whole number: \[ \text{Number of tiles} = 2 \]

- Therefore, the maximum number of tiles needed to cover the wall is 2.

2. Calculate the Size of Each Tile: - To find the size of each tile, we can use the fact that 46 tiles can be laid along the entire length of the wall.

- The size of each tile can be calculated by dividing the length of the wall by the number of tiles that can be laid along it.

- The formula to calculate the size of each tile is: \[ \text{Size of each tile} = \frac{\text{Length of the wall}}{\text{Number of tiles}} \]

- Substituting the given values: \[ \text{Size of each tile} = \frac{\sqrt{\text{Area of the wall}}}{46} \]

- Calculating the size of each tile: \[ \text{Size of each tile} = \frac{\sqrt{70.56}}{46} \approx 0.33 \, \text{m} \]

- Converting the size to centimeters: \[ \text{Size of each tile} \approx 33 \, \text{cm} \]

Conclusion

Based on the given information, the maximum number of square tiles needed to cover the wall is 2, and each tile has a side length of approximately 33 centimeters.