Subjects geometry

Dirt Volume B724Cf

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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.