The reason this problem is so sneaky is that it has a lot of different units in it, and you have to keep them all straight.
Volume of concrete for the patio = (length) x (width) x (height).
You know all of these dimensions, but be careful. Before you multiply them, they must all be in the same units.
Length = 36 ft Width = 24 ft Height = 9 inches = 3/4 of a ft (0.75 ft).
NOW you can multiply to get the volume.
Volume = (36 ft) x (24 ft) x (0.75 ft) .
The result is the volume in ft³ (cubic feet).
Now you need to figure out how much this will cost, but you run into another problem . . . you know how much each yd³ costs, but you only have the volume in ft³. You have to change the ft³ into yd³ .
Here's the tool you need to do that: 1 yd³ = 27 ft³
The rest is just arithmetic. I know you can handle it from this point.
Problem 10 One foot is equal to 0.333 yards, so convert the feet to yards. One inch is equal to 0.0278 yards. (36 feet × 0.333 = 12) 36 feet = 12 yards (24 feet × 0.333 = 8) <span>24 feet = 8 yards </span> (9 inches × 0.0278 = 0.25) 9<span> inches = 0.25 yards </span>Now, multiply it all together (L × W <span>× H). </span>12 × 8 <span>× 0</span>.25 = 24 yards Then multiply the number of cubic yards. 24 <span>× </span>55= $1320 The answer is $1320
