Collin is buying dirt to fill a garden bed that is a 9ft by 16ft rectangle. if he wants to fill it to a depth of 4 inches, how many cubic yards of dirt does he need? if dirt costs $25 per yard cubed, how much will the project cost?

Cubic yards of dirt needed for project = 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 = feet.

Now finding the volume (in cubic ft) =  

We know 3 feet is  1 yard. To convert cubic feet to cubic yards, we have to divide it by (3)^3 = 27. Hence:

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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: