Jeremy is pouring a rectangular concrete pad for a driveway. It measures 9 yd by 24 ft and he wants 6 inches of concrete.How many cubic yards of concrete should Jeremy order (to nearest whole number)?
Question
Jeremy is pouring a rectangular concrete pad for a driveway. It measures 9 yd by 24 ft and he wants 6 inches of concrete.How many cubic yards of concrete should Jeremy order (to nearest whole number)?
Solution
First, we need to convert all measurements to the same unit. In this case, we'll convert everything to feet because the concrete is usually measured in cubic yards and 1 yard equals 3 feet.
The length of the driveway is already given in feet, which is 24 ft.
The width is given in yards, so we convert it to feet: 9 yd * 3 = 27 ft.
The depth is given in inches, so we convert it to feet: 6 in / 12 = 0.5 ft.
Now, we can calculate the volume of the concrete needed in cubic feet: length * width * depth = 24 ft * 27 ft * 0.5 ft = 324 cubic feet.
Since concrete is usually ordered in cubic yards, we need to convert the volume from cubic feet to cubic yards. There are 27 cubic feet in a cubic yard, so we divide the volume in cubic feet by 27: 324 ft³ / 27 = 12 cubic yards.
So, Jeremy should order 12 cubic yards of concrete.
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