Pat is pouring a rectangular concrete pad for a driveway. It measures 9 yd by 21 ft and he wants 5 inches of concrete.How many cubic yards of concrete should Pat order? Answer to the nearest HUNDREDTH.
Question
Pat is pouring a rectangular concrete pad for a driveway. It measures 9 yd by 21 ft and he wants 5 inches of concrete.How many cubic yards of concrete should Pat order? Answer to the nearest HUNDREDTH.
Solution 1
To solve this problem, we need to convert all measurements to the same unit. In this case, we'll convert everything to feet because the concrete is usually ordered in cubic yards and 1 yard equals 3 feet.
- Convert the length of the driveway from yards to feet: 9 yd * 3 ft/yd = 27 ft
- The width is already given in feet: 21 ft
- Convert the depth from inches to feet: 5 in * (1 ft / 12 in) = 0.42 ft (rounded to the nearest hundredth)
Now, we can calculate the volume of the concrete needed in cubic feet:
Volume = length * width * depth = 27 ft * 21 ft * 0.42 ft = 239.58 cubic feet
Since concrete is ordered in cubic yards, we need to convert this volume from cubic feet to cubic yards. There are 27 cubic feet in a cubic yard, so:
Volume = 239.58 cubic feet * (1 cubic yard / 27 cubic feet) = 8.87 cubic yards
So, Pat should order approximately 8.87 cubic yards of concrete.
Solution 2
To solve this problem, we need to convert all measurements to the same unit. In this case, we'll convert everything to feet because the concrete is usually ordered in cubic yards and 1 yard equals 3 feet.
- Convert the length of the driveway from yards to feet: 9 yd * 3 = 27 ft
- The width is already given in feet: 21 ft
- Convert the depth from inches to feet: 5 in / 12 = 0.42 ft (rounded to the nearest hundredth)
Now, we can calculate the volume of the concrete needed in cubic feet:
Volume = length * width * depth = 27 ft * 21 ft * 0.42 ft = 239.58 cubic feet
Since concrete is ordered in cubic yards, we need to convert cubic feet to cubic yards. There are 27 cubic feet in a cubic yard, so:
239.58 cubic feet / 27 = 8.87 cubic yards
So, Pat should order approximately 8.87 cubic yards of concrete.
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