Question

В санатории построили бассейн прямоугольной формы длинна которого 15 метров ширина 5 метров и глубина 2 метра. Сколько квадратных плиток со стороной 1 дм. каждая потребовалось для облицовки дна бассейна?Стенок бассейна?

Answer 1

15*5=75м²
1дм=0,2м
75\0,2=375 для дна
15*2=30м²
30\0,2=150 для стенки одной
5*2=10
10\0.2=50 для другой стенки
150*2+50*2=400 плиток для стенок
400+375=775 всего плиток

Answer 2

Calculation of Tiles for the Pool Bottom

To calculate the number of square tiles required to cover the bottom of the rectangular pool, we need to find the area of the pool's bottom and divide it by the area of each tile.

The length of the pool is 15 meters, the width is 5 meters, and the depth is 2 meters. To find the area of the pool's bottom, we multiply the length and width:

Area of the pool's bottom = length × width = 15 m × 5 m = 75 square meters.

Now, we need to convert the area of the pool's bottom from square meters to square decimeters because the size of each tile is given in square decimeters.

1 square meter is equal to 100 square decimeters, so:

Area of the pool's bottom in square decimeters = 75 m² × 100 dm²/m² = 7500 square decimeters.

The size of each tile is 1 decimeter by 1 decimeter, which gives us an area of 1 square decimeter.

To find the number of tiles required, we divide the area of the pool's bottom in square decimeters by the area of each tile:

Number of tiles required for the pool's bottom = Area of the pool's bottom in square decimeters ÷ Area of each tile = 7500 square decimeters ÷ 1 square decimeter = 7500 tiles.

Therefore, 7500 square tiles with sides of 1 decimeter each are required to cover the bottom of the pool.

Calculation of Tiles for the Pool Walls

To calculate the number of square tiles required to cover the walls of the rectangular pool, we need to find the perimeter of the pool's walls and divide it by the length of each tile.

The length of the pool is 15 meters, the width is 5 meters, and the depth is 2 meters. To find the perimeter of the pool's walls, we add the lengths of all four sides:

Perimeter of the pool's walls = 2 × (length + width) = 2 × (15 m + 5 m) = 2 × 20 m = 40 meters.

Now, we need to convert the perimeter of the pool's walls from meters to decimeters because the length of each tile is given in decimeters.

1 meter is equal to 10 decimeters, so:

Perimeter of the pool's walls in decimeters = 40 m × 10 dm/m = 400 decimeters.

The length of each tile is 1 decimeter.

To find the number of tiles required, we divide the perimeter of the pool's walls in decimeters by the length of each tile:

Number of tiles required for the pool's walls = Perimeter of the pool's walls in decimeters ÷ Length of each tile = 400 decimeters ÷ 1 decimeter = 400 tiles.

Therefore, 400 square tiles with sides of 1 decimeter each are required to cover the walls of the pool.

Please note that these calculations assume that the tiles can be cut to fit any necessary shapes or angles on the pool walls.