1. **State the problem:** Ed has a garden box with dimensions 5 yards long, 2 yards wide, and 8 inches deep. We need to find how many bags of potting soil he must buy if each bag contains 1 cubic foot of soil.
2. **Convert all dimensions to the same unit:**
- Length = 5 yards
- Width = 2 yards
- Depth = 8 inches
Since 1 yard = 3 feet and 1 foot = 12 inches, convert yards to feet and inches to feet:
- Length in feet = $5 \times 3 = 15$ ft
- Width in feet = $2 \times 3 = 6$ ft
- Depth in feet = $\frac{8}{12} = \frac{2}{3}$ ft
3. **Calculate the volume of the garden box in cubic feet:**
$$\text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} = 15 \times 6 \times \frac{2}{3}$$
4. **Simplify the volume:**
$$15 \times 6 = 90$$
$$90 \times \frac{2}{3} = 90 \times 0.6667 = 60$$
So, the volume is 60 cubic feet.
5. **Determine the number of bags needed:**
Each bag contains 1 cubic foot, so Ed needs 60 bags.
**Final answer:** Ed needs to purchase **60** bags of potting soil.
Garden Soil 4E631D
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