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Answer :
Final answer:
To calculate the volume of soil required for a garden of 1500 square feet, excavated to a depth of 12 inches and mounded 3 inches above grade, we need to multiply the area by the height and convert the result from cubic feet to cubic yards. The approximate answer based on the options provided is 84 cubic yards.
Explanation:
To solve this, we need to calculate the volume of the soil required. The volume is the product of the area and the height, where the area is
1500 square feet
and the height would be the depth of 12 inches plus the 3 inches above grade, giving us 15 inches. Remember, to convert the volume from cubic feet to
cubic yards, we divide it by 27, as there are 27 cubic feet in a cubic yard. Therefore we would calculate as follows: (1500 sqft x 15 inches)/27 = 83.33 cubic yards. However, out of the answer options provided, the closest would be 84 cubic yards.
Therefore, the correct answer is C.
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Final answer:
To calculate the volume of soil needed for the garden, multiply the area (in square feet) by the depth (in feet). The result is in cubic feet. Convert this to cubic yards by dividing by 27. The total volume needed is approximately 70 cubic yards. The correct answer is option D.
Explanation:
To find the volume of soil needed for your garden, you first need to calculate the volume of the area. The garden's area is 1500 square feet, and you want the soil to be mounded 3 inches above the existing ground level, so the total depth is 12 inches (for the excavation depth) plus 3 inches (for the mounded soil), which equals 15 inches or 1.25 feet (since there are 12 inches in a foot). Therefore, the total volume of soil needed is 1.25 feet (depth) times 1500 square feet (area), which equals 1875 cubic feet.
However, the soil is typically sold by cubic yards, not cubic feet. To convert cubic feet to cubic yards, divide the cubic feet by 27 (since there are 3 feet in a yard, and hence 3*3*3 = 27 cubic feet in a cubic yard). So, 1875 divided by 27 equals approximately 69.4 cubic yards. The closest option to this number is 70 cubic yards, so the answer is D. 70 cubic yards.
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