Question

Холл музея имеет длину 9 м и ширину 3 м. Пол прихожей должен быть покрыт квадратной плиткой. Сколько плиток нужно, чтобы покрыть этот пол, если длина края плитки 25 см?

Answer 1

Ответ:

432 плитки нужно, чтобы покрыть этот пол

Пошаговое объяснение:

25 см = 0,25 м

S холла = 9 * 3 = 27 м² площадь пола

S плитки = 0,25² = 0,0625 м²  площадь 1 плитки

27 : 0,0625 = 432 плитки нужно, чтобы покрыть этот пол

Или так:

9 м = 900 см    3 м = 300 см

S холла = 900 * 300 = 270 000 см² площадь пола

S плитки = 25² = 625 см²  площадь 1 плитки

270 000 : 625 = 432 плитки нужно, чтобы покрыть этот пол

Answer 2

Calculation of the Number of Tiles Needed

To calculate the number of tiles needed to cover the floor of the museum hallway, we need to determine the area of the floor and divide it by the area of each tile.

Given: - Length of the hallway = 9 m - Width of the hallway = 3 m - Length of one side of the tile = 25 cm

To find the area of the floor, we multiply the length and width of the hallway:

Area of the floor = Length × Width

Substituting the given values:

Area of the floor = 9 m × 3 m

To convert the area to square centimeters (cm²), we multiply by 10,000 (since 1 m² = 10,000 cm²):

Area of the floor = (9 m × 3 m) × 10,000 cm²/m²

Now, we need to calculate the area of one tile:

Area of one tile = Length of one side × Length of one side

Substituting the given value:

Area of one tile = 25 cm × 25 cm

To convert the area to square meters (m²), we divide by 10,000 (since 1 m² = 10,000 cm²):

Area of one tile = (25 cm × 25 cm) ÷ 10,000 m²/cm²

Finally, we can calculate the number of tiles needed by dividing the area of the floor by the area of one tile:

Number of tiles needed = Area of the floor ÷ Area of one tile

Let's perform the calculations:

Area of the floor = (9 m × 3 m) × 10,000 cm²/m² = 270,000 cm²

Area of one tile = (25 cm × 25 cm) ÷ 10,000 m²/cm² = 0.0625 m²

Number of tiles needed = 270,000 cm² ÷ 0.0625 m² ≈ 4,320 tiles

Therefore, approximately 4,320 tiles are needed to cover the floor of the museum hallway.