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How much concrete is needed for a cutout measuring 25 feet by 7 feet by 8 inches deep?

  1. 4.32 cubic yards

  2. 2.87 cubic yards

  3. 3.65 cubic yards

  4. 5.00 cubic yards

The correct answer is: 4.32 cubic yards

To calculate the volume of concrete needed for a cutout measuring 25 feet by 7 feet by 8 inches deep, you first need to convert all measurements to the same unit. In this case, it is convenient to convert depth from inches to feet. Since there are 12 inches in a foot, 8 inches is equal to \( \frac{8}{12} \) feet, which simplifies to \( \frac{2}{3} \) feet or approximately 0.67 feet. Next, compute the volume in cubic feet by multiplying length, width, and depth. The formula is: Volume = Length × Width × Depth Volume = 25 feet × 7 feet × \( \frac{2}{3} \) feet Calculating that gives: Volume = 25 × 7 × \( \frac{2}{3} \) Volume = 175 × \( \frac{2}{3} \) Volume = \( \frac{350}{3} \) cubic feet Volume ≈ 116.67 cubic feet To convert cubic feet to cubic yards, use the conversion factor (1 cubic yard = 27 cubic feet): Volume in cubic yards = \( \frac{116