Final answer:
To cover a 4.5-foot by 7-foot shower floor with 6-inch by 6-inch tiles, you must convert the dimensions to inches, calculate the area of the shower floor, and divide by the area of one tile. After doing these calculations, a total of 126 tiles are needed.
Step-by-step explanation:
To determine how many 6-inch by 6-inch tiles are needed for a 4.5-foot by 7-foot shower floor, we first need to convert the shower floor dimensions from feet to inches, as the tile dimensions are given in inches. There are 12 inches in a foot, so the shower floor is 54 inches by 84 inches (since 4.5 ft equals 54 inches and 7 ft equals 84 inches).
Next, we calculate the area of the shower floor: Area = length × width = 54 inches × 84 inches = 4536 square inches.
Each tile covers an area of 6 inches by 6 inches, which is 36 square inches (Area of tile = 6 inches × 6 inches). To find the number of tiles needed, we divide the total area of the shower floor by the area of one tile:
Number of tiles = Total area / Area of one tile = 4536 square inches / 36 square inches = 126 tiles.
Therefore, 126 tiles are needed to cover the floor of the shower.