Question

You want to put a 6 inch thick layer of topsoil for a new 12 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.

Answer 1

Answer:

4 3/4 yards

Step-by-step explanation:

convert ft to inches

12 ft = 12*12 = 144 inches

21 ft = 21*12 = 252 inches

height (thickness) is 6 inches

convert to yards

1 yard = 36 inch

width

1/36 = x/144

x=4 yards

length

1/36 = x/252

x=7 yards

height

1/36 = x/6

x= 1/6 yards

the total volume of dirt needed is length x width x height.

4*7*(1/6) = 28/6 yards or 4 2/3 yards

since the store sells in increments of 1/4 yards, round 4 2/3 to nearest fourth (3/4) so you need to order 4 3/4 yards of topsoil.

please give thanks :)