Question

You want to put a 4 inch thick layer of topsoil for a new 28 ft by 14 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answer 1

19

Explanation:

Given that:

• topsoil : 4 inch
• 28 ft by 14 ft garden
• increments of 1/4 cubic yards

We need to convert all the units into yards. to find out the number of cubic yards you need to buy

As we know:

1 yard = 3 feet or 1 yard = 36 inches

=> 1 inch = 1/36 yard.

=> 1 feet = 1/3 yard

• So the volume of the topsoil is:

=
`4(1/36)(28)(1/3)(14)(1/3)`

= 4.839 cubic yard

So the number of cubic yards you need to buy :

4.839 : 1/4 ≈ 19

Hope it will find you well.

Answer 2

Explanation:

1 yard = 3 feet = 36 in

so 1 in = 1/36 yard, 1 ft = 1/3 yard.

The volume of the layer of the topsoil, is:

4 in * 28 ft * 14 ft = 4 *(1/36)*23*(1/3)*17*(1/3) yard cubed =

(4*28*14)/(36*3*3)= 1955/324=

The store only sells increments of 1/4 = 0.25 cubic yards.

we need 6.034/0.25=

So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.