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? 

Verified 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. \(2.24\ yard^3\)
  2. \(\$11.2\)

Step-by-step explanation:

We know that

\(1\text{ Feet}=0.33\text{ Yard}\)

\(1\text{ Inch}=0.028\text{ Yard}\)

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,

\(=4\times 2\times 0.28=2.24\ yard^3\)

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

\(=2.24\times 5=\$11.2\)