Final answer:
To calculate the number of bags of concrete needed for the patio, divide the volume of concrete in cubic feet by the yield per bag. Convert the dimensions to feet, calculate the volume, convert to cubic yards, and divide by the yield per bag. Approximately 187 bags of 80 lb. concrete will be needed.
Step-by-step explanation:
To calculate the volume of concrete needed for the patio, we first need to convert the dimensions of the patio to feet. The width is 12 ft and the length is 14 ft. To calculate the volume of concrete in cubic feet, we multiply the width, length, and thickness: 12 ft × 14 ft × 8 in = 112 ft³. Next, we need to convert the volume to cubic yards by dividing by 27 (since 1 cubic yard is equal to 27 cubic feet): 112 ft³ ÷ 27 = 4.15 cubic yards. Finally, we need to determine the number of 80 lb. bags of concrete needed. Given that each bag yields 0.60 cubic feet of concrete, we can divide the total volume in cubic feet by the yield per bag: 112 ft³ ÷ 0.60 ft³ per bag = 186.67 bags. Therefore, you will need approximately 187 bags of 80 lb. concrete for your patio.