5 inches = 5/12 = 0.4166 feet
23 x 18 x 0.4166 = 172.5 cubic feet
1 cubic foot = 0.037037 cubic yards
172.5 x 0.037037 = 6.39 round up to 6.5 cubic yards
Answer:
You need to buy 6.5 cubic yards.
Step-by-step explanation:
You want to put a 5 inch thick layer of topsoil for a new 23 ft by 18 ft garden.
We know 1 yard = 3 feet or 1 yard = 36 inches
Then 1 inch = [tex]1/36[/tex] yard.
1 feet = 1/3 yard
The volume of the layer of the topsoil is given by:
= [tex]5(1/36)(23)(1/3)(18)(1/3)[/tex] cubic yards
[tex]2070/324=6.39[/tex] cubic yards
Now, the store only sells increments of 1/4 = 0.25 cubic yards.
So, we need to buy [tex]6.39/0.25=25.56[/tex] increments
Rounded to 26 increments.
Therefore, we need to buy 26 increments of 1/4 cubic yards.
That becomes 6.5 cubic yards.
