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Answer :
Final answer:
To convert the volume of the mold from cubic feet to cubic yards, divide 186 by 27 to get approximately 6.89 cubic yards. Since you can't order a fraction of a cubic yard, you would need to order 7 cubic yards of concrete to fill the mold.
Explanation:
To determine how many cubic yards of concrete are needed to fill a mold of 186 cubic feet, you need to convert cubic feet to cubic yards because concrete is sold by cubic yard. One cubic yard is equal to 27 cubic feet (3 feet x 3 feet x 3 feet).
To make this conversion, you divide the volume in cubic feet by the volume of one cubic yard in cubic feet:
Volume in cubic yards = Volume in cubic feet / 27
So for a mold with a volume of 186 cubic feet:
Volume in cubic yards = 186 / 27 ≈ 6.89
Since you cannot order a fraction of a cubic yard of concrete, you would need to order 7 cubic yards of concrete to ensure you have enough to fill the mold, as it is common practice to round up to the nearest whole number when ordering concrete.
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You will need approximately 6.89 cubic yards of concrete to fill the mold of 186 cubic feet.
To convert the volume from cubic feet to cubic yards, we need to know the conversion factor. One cubic yard equals 27 cubic feet, since 1 yard = 3 feet, and (3 feet)³ = 27 cubic feet.
Given Data:
Volume of the mold = 186 cubic feet.
Conversion factor: 1 cubic yard = 27 cubic feet.
Conversion Calculation: To find how many cubic yards of concrete are required, we divide the volume of the mold in cubic feet by the conversion factor:
Cubic yards = Volume in cubic feet / 27
Cubic yards = 186 / 27
Cubic yards ≈ 6.89 cubic yards.
