Approx 60 quarts.
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300 sq ft = 43,200 sq in [1 sq ft = 144 sq in]. 43,200 sq in x 6 in = 259,200 cu in of soil volume. The above assumes the garden is 300 sq-ft, but the question actually says 300 ft of fence length, not garden area. You would have alot of spare fence if your garden was only 300 sq-ft. So lets assume a rectangle with the dimensions of 100 ft x 50 ft (300 feet fence total legth), which gives an area of 5000 sq-ft. With the soil being 1/2 foot deep, the volume is calculated as 5000 sq-ft x 0.5 ft = 2500 cu-ft (or 92.6 cu-yards: 1 cu-yd = 27 cu-ft). However, as the dimensions of the rectangle change, so will the area, and so will the volume.
12 in = 1 ft ⇒ 60 ft x 100 ft x 4 in = 60 ft x 100 ft x (1 ÷ 12) ft = 500 cu ft Close, but you left out the 4 in (1/12) above. You had it on the left, but you left it out on the right. That makes the correct answer 2000 cu ft.
If you meant cu. in to cu. ft.divide by 1728.
sq feet to sq yards cu ft to cu yards you need depth added to your sq ft to get cu ft such as 70 sq ft x 4 in deep = 23.33 cu ft =.086 cu yd
6"by 6"by" 6"= .5 Cu Ft