A landscaper plans to cover a 9-by-18-foot rectangular flower bed with bark dust 3 inches deep.The bark dust he is using costs $26 per cubic yard.What will be the total cost of the bark dust for this job?
A) $64
B) $49
C) $39
D) $54
To find the total cost of the bark dust for this job, we need to calculate the volume of the flower bed that needs to be covered with bark dust.
First, convert the depth of the bark dust to the same unit as the dimensions of the flower bed. Since the dimensions of the flower bed are given in feet, we need to convert 3 inches to feet.
1 foot = 12 inches
So, 3 inches = 3/12 = 0.25 feet.
Next, calculate the volume of the flower bed by multiplying the length, width, and depth:
Volume = Length x Width x Depth
Volume = 9 feet x 18 feet x 0.25 feet
Volume = 81 cubic feet.
Now, convert the volume from cubic feet to cubic yards, as the cost of the bark dust is given in dollars per cubic yard.
1 cubic yard = 27 cubic feet
So, 81 cubic feet = 81/27 = 3 cubic yards.
Finally, calculate the total cost of the bark dust by multiplying the volume in cubic yards by the cost per cubic yard:
Total Cost = Volume x Cost per cubic yard
Total Cost = 3 cubic yards x $26 per cubic yard
Total Cost = $78.
Therefore, the total cost of the bark dust for this job is $78.
None of the options given (A, B, C, D) match the correct answer.