Final answer:
The correct volume of concrete needed for the given trench footing dimensions is approximately 3.554 cubic yards, none of the student-provided answer choices are correct.
Step-by-step explanation:
To calculate the volume of concrete needed for a trench footing that is 24 feet long, 24 feet wide, 4 feet deep, and 1 foot wide, you use the formula for the volume of a rectangular prism, which is Volume = length × width × depth.
First, convert the dimensions to yards because the question asks for the volume in cubic yards. There are 3 feet in 1 yard. Therefore, for the dimensions given in feet, you will have:
- Length: 24 feet / 3 = 8 yards
- Width: 1 foot / 3 ≈ 0.333 yards
- Depth: 4 feet / 3 ≈ 1.333 yards
So the volume is:
V = 8 yards × 0.333 yards × 1.333 yards ≈ 3.554 cubic yards
The student has a list of possible volumes in their question, but none of these match the correct calculation. Therefore, none of the given options is the correct amount of concrete needed. The actual amount is approximately 3.554 cubic yards.