A square tile is having side of length 15cm.how many such tiles would be required to cover the square floor of abathroom of side 3m.
Ignoring the grouting gap needed , we can fit 20 tiles along each side, so we need
20x20 or 400 tiles
400tiles
400
400
400tiles
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To find out how many square tiles would be required to cover the square floor of a bathroom, we need to calculate the total number of tiles needed by dividing the area of the bathroom floor by the area of a single tile.
1. Find the area of the bathroom floor:
The side of the bathroom floor is given as 3m. Since it's a square, the length and width are the same.
Area of the bathroom floor = side × side = 3m × 3m = 9m²
2. Find the area of a single tile:
The side of the square tile is given as 15cm. Since the area of a square is found by multiplying its side by itself, we can calculate the area.
Area of a single tile = side × side = 15cm × 15cm = 225cm²
3. Convert the area of the bathroom floor to square centimeters:
1m² = 10,000cm² (as there are 100cm in 1m and area is measured in square units).
Area of the bathroom floor in square centimeters = 9m² × 10,000cm²/m² = 90,000cm²
4. Determine the number of tiles required:
Number of tiles required = Area of the bathroom floor in square centimeters / Area of a single tile in square centimeters
Number of tiles required = 90,000cm² / 225cm² = 400
Therefore, 400 square tiles are required to cover the square floor of the bathroom.