1. **State the problem:** A landscaper needs to cover a yard 14 meters long and 8 meters wide with a layer of dirt 0.25 meters deep. We need to find how many 1 cubic meter bags of dirt are required.
2. **Formula used:** Volume of dirt needed is calculated by the formula for the volume of a rectangular prism:
$$\text{Volume} = \text{length} \times \text{width} \times \text{depth}$$
3. **Calculate the volume:**
$$\text{Volume} = 14 \times 8 \times 0.25$$
4. **Perform multiplication:**
$$14 \times 8 = 112$$
$$112 \times 0.25 = 28$$
5. **Interpretation:** The total volume of dirt needed is 28 cubic meters.
6. **Determine number of bags:** Each bag contains 1 cubic meter, so the number of bags needed is equal to the volume:
$$\text{Number of bags} = 28$$
**Final answer:** The landscaper needs 28 bags of dirt.
Dirt Volume B724Cf
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.