Cement costs $76 per cubic yard. What is the cost of cement for a sidewalk that is 4 inches thick, 3 feet wide, and 40 feet long? (Calculate the problem using fractions to avoid rounding errors caused by repeating decimals.)

Step-by-step explanation:

1. Volume of concrete

The formula for the volume of a rectangular prism is

V = lwh

Data:

 l = 40 ft

w =   3 ft

h =   4 in = ⅓ ft

Calculation:

V = 40 ft × 3 ft × ⅓ ft = 40 ft³

2. Convert cubic feet to cubic yards

3. Calculate the cost

$76 buys 1 yd³ of concrete.