You build one raised garden box that is 12 feet by 6 feet and 10 inches tall.  The supply store sells garden soil in cubic yards.
-How many cubic yards of soil will you need to fill the boxes?  You may disregard the thickness of the wood.
-If soil is priced at $5 per cubic yard, how much will it cost to fill your boxes? 



Answer :

6 ft = 2 yds 12 ft = 4 yds 10inches = 10/12 = 5/6 of a foot = 5/6 divided by 3 = 5/18 of a yd   Total volume in yards = 2 x 4 x 5/18 = 2.22 cubic yards   Total cost = $5.00 x 2.22 = $11.10

Answer:

  1. [tex]2.24\ yard^3[/tex]
  2. [tex]\$11.2[/tex]

Step-by-step explanation:

We know that

[tex]1\text{ Feet}=0.33\text{ Yard}[/tex]

[tex]1\text{ Inch}=0.028\text{ Yard}[/tex]

You built one raised garden box that is 12 feet by 6 feet and 10 inches tall.

or you built one raised garden box that is 4 yards by 2 yards and 0.28 yard tall.

Then the volume of the box is,

[tex]=4\times 2\times 0.28=2.24\ yard^3[/tex]

Soil is priced at $5 per cubic yard, so the total cost will be,

[tex]=2.24\times 5=\$11.2[/tex]