To find out how many tiles Carmella needs, we first need to determine the total area that needs to be tiled and then the area covered by each tile.
-
Calculate the area of one wall:
- Each wall is 4 feet by 6 feet.
- Area of one wall = length × height = 4 ft × 6 ft = 24 square feet.
-
Calculate the total area for 3 walls:
- Area for 3 walls = 3 × area of one wall = 3 × 24 square feet = 72 square feet.
-
Calculate the area of one tile:
- Each tile is 3 inches by 3 inches.
- Convert inches to feet: 3 inches = 3/12 feet = 0.25 feet.
- Area of one tile = length × width = 0.25 ft × 0.25 ft = 0.0625 square feet.
-
Calculate the number of tiles needed:
- Number of tiles = total area to be tiled / area of one tile = 72 square feet / 0.0625 square feet/tile.
-
Perform the calculation: \[ \text{Number of tiles} = \frac{72}{0.0625} = 1152 \]
Carmella needs 1,152 tiles to tile the three walls of her shower.