Florida Teacher Certification Examinations (FTCE) Subject Area Practice Test

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How many 10cm vinyl tiles are required to cover a workbench with a surface area of 3.4 square meters?

  1. 3,000

  2. 3,800

  3. 3,400

  4. 4,000

The correct answer is: 3,400

To determine how many 10cm vinyl tiles are required to cover a workbench with a surface area of 3.4 square meters, it is essential to first convert the measurements to the same units. The surface area of the workbench is given in square meters, while the size of the tiles is in centimeters. The area of one tile can be calculated based on its dimensions. A 10 cm tile has an area of 10 cm x 10 cm, which is 100 square centimeters. Next, we convert the workbench's surface area from square meters to square centimeters. Since 1 square meter is equal to 10,000 square centimeters, we multiply 3.4 square meters by 10,000, giving us: 3.4 m² x 10,000 cm²/m² = 34,000 cm². Now, we divide the total area of the workbench by the area of one tile to find the number of tiles needed: 34,000 cm² / 100 cm²/tile = 340 tiles. Since "340" does not match any of the answer choices, there might have been an error in perceived conversion or misinterpretation of area. Taking a look at