You want to put a 3 inch thick layer of topsoil for a new 20 ft by 21 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

The volume of the topsoil is

28 ft by 21 ft by 5/15 ft = 245 cubic feet

There are 27 cubic feet in one cubic yard.

245/27 = 9.074074074 = 9.074

Need 9.25 = 9 and 1/4 cubic yards HEIGHT: 4 in * (1 ft / 12 in) = 1/3 ft * (1 yard/3 ft) = 1/9 yard

WIDTH: 28 ft * (1 yard/3 ft) = 28/3 yards

LENGTH: 32 ft * (1 yard/3 ft) = 32/3 yards

Then, let’s get the total soil capacity or volume of the garden:

(32/3) * (28/3) * (1/9) = 896/81 = 11.06 cubic yards

Since we can’t buy 0.06 cubic yard of soil, we need to round off 11.06 to the next number of cubic yards that is exactly divisible by 1/4.

It will give us then with 11 & 1/4 cubic yards.

Step-by-step explanation: