Answer:
[tex]\large \boxed{\$112.59}[/tex]
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
[tex]V = \text {40 ft}^{3} \times \left (\dfrac{\text{1 yd}}{\text{3 ft}} \right )^{3} = \dfrac{40}{27} \text{ yd}^{3}[/tex]
3. Calculate the cost
$76 buys 1 yd³ of concrete.
[tex]\text{Cost} = \dfrac{40}{27} \text{ yd}^{3} \times \dfrac{\text{\$76}}{\text{1 yd}^{3}} = \$112.59\\\\\text{The cost of the concrete is $\large \boxed{\mathbf{\$112.59}}$}[/tex]
