how many 9 inch square tiles are needed to cover a table top that is 3 feet by 3 feet?

3' = 36" = 4 x 9"

3'x3' = 4x9" x 4x9" = 16 tiles

27 tiles

To determine the number of 9-inch square tiles needed to cover a table top that is 3 feet by 3 feet, we first need to convert the measurements to the same units.

1 foot is equal to 12 inches. So, the table top is 36 inches by 36 inches.

To find the number of tiles, we need to calculate the area of the table top and divide it by the area of one tile.

The area of the table top is calculated by multiplying the length by the width:
Area = Length × Width
Area = 36 inches × 36 inches
Area = 1296 square inches

The area of each tile is calculated by multiplying the length of one side by itself:
Area of one tile = Side length × Side length
Area of one tile = 9 inches × 9 inches
Area of one tile = 81 square inches

Finally, to find the number of tiles needed, we divide the area of the table top by the area of one tile:
Number of tiles = Area of table top ÷ Area of one tile
Number of tiles = 1296 square inches ÷ 81 square inches
Number of tiles = 16

Therefore, you would need 16 9-inch square tiles to cover the table top.