Kevin plans to put concrete on a rectangular portion of his driveway the portion is 10 feet long and 3 inches high the price of concrete is 98$ per cubic yard the total cost of the concrete Kevin needs is 72.59$ which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete
First we need to know the total volume of concrete used: [tex]V_total = \frac{cost_{total}}{cost{unit}}[/tex] [tex]V_total = \frac{\$72.98}{\frac{\$90}{yd^{3}}}[/tex] [tex]V_total = 0.7407yd^{3}[/tex]
Now we can use the formula for volume of a rectangular prism: [tex]V=lwh[/tex] Convert everythig to yards and substitute: [tex]0.7407yd^{3}=(3.33yd)(w)(0.08333yd)[/tex] [tex]w=\frac{0.7407}{3.33 \times 0.08333}[/tex] [tex]w \aprox 2.66yd[/tex]