Concrete is purchased by the cubic yard. if concrete costs $58 per yard, how much money will it cost to pour a 16ft x 16ft x 6in slab?

( show your work if possible.)

Work Shown:

1 yard = 3 feet

1 cubic yard = 27 cubic feet (cube both sides)

We will use this conversion factor later.

6 inches = 1/2 ft = 0.5 ft

So this slab is 16 ft by 16 ft by 0.5 ft leading to a volume of 16*16*0.5 = 128 cubic feet

Going back to the conversion factor, we can use that to help go from "cubic feet" to "cubic yards"

128 cubic feet = (128 cf)*(1 cy/27 cf) = 128/27 = 4.74 cubic yards

This slab is roughly 4.74 cubic yards. Round up to the nearest whole number to get 5 cubic yards.

Since it costs $58 per cubic yard, this means the total price comes to

5*58 = 290