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Pat is pouring a rectangular concrete pad for a driveway. It measures 11 yd by 24 ft and he wants 7 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 11 yd by 24 ft and he wants 7 inches of concrete.How many cubic yards of concrete should Pat order? Answer to the nearest HUNDREDTH.

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Solution

Sure, let's break this down step by step:

  1. 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.

  2. Convert the length of the driveway from yards to feet: 11 yd * 3 = 33 ft.

  3. The width is already given in feet: 24 ft.

  4. Convert the depth from inches to feet because there are 12 inches in a foot: 7 in / 12 = 0.58 ft.

  5. Now, we can calculate the volume of the concrete needed in cubic feet: length * width * depth = 33 ft * 24 ft * 0.58 ft = 459.84 cubic feet.

  6. Finally, we need to convert this volume from cubic feet to cubic yards because concrete is usually ordered in cubic yards. There are 27 cubic feet in a cubic yard, so: 459.84 cubic feet / 27 = 17.03 cubic yards.

So, Pat should order approximately 17.03 cubic yards of concrete.

This problem has been solved

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