Answer:
Cubic yards of dirt needed for project = [tex]1\frac{7}{9}[/tex] cubic yards
Cost of Project = About $44.44
Step-by-step explanation:
To find number of cubic yards of dirt needed, we need to find the volume.
Rectangular Prism Volume = length * width * depth
Note: Length is 9ft, width is 16ft, depth is 4 inches. We need to change depth to ft. So 4 inches = [tex]\frac{1}{3}[/tex] feet.
Now finding the volume (in cubic ft) = [tex]9*16*\frac{1}{3}=48[/tex]
We know 3 feet is 1 yard. To convert cubic feet to cubic yards, we have to divide it by (3)^3 = 27. Hence:
[tex]\frac{48}{27}=\frac{16}{9}[/tex] cubic yards
* Since dirt is $25 per cubic yard, to find cost, we multiply 25 by 16/9. Hence
Cost of Project = 25 * 16/9 = 400/9 = $44.44
