Question

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 feet by 17 feet by 2 inches for a patio if the concrete costs $40.00 per cubic yard

Answer 1

keeping in mind that there are 3 feet in 1 yard, and there are 36 inches in 1 yard, let's convert the feet to yards and the inches as well to yards.


`\bf 17\underline{ft}\cdot \cfrac{yd}{3\underline{ft}}\implies \cfrac{17}{3}yd\qquad\qquad and\qquad\qquad 2\underline{in}\cdot \cfrac{yd}{36\underline{in}}\implies \cfrac{1}{18}yd\\\\ -------------------------------\\\\`


`\bf \textit{so the slab will be }17ft\cdot 17ft\cdot 2in\implies \cfrac{17}{3}yd\cdot \cfrac{17}{3}yd\cdot \cfrac{1}{18}yd \\\\\\ \cfrac{17\cdot 17\cdot 1}{3\cdot 3\cdot 18}yd^3\implies \stackrel{volume}{\cfrac{289}{162}yd^3}\\\\ -------------------------------\\\\ \textit{now, we know each }yd^3\textit{ costs 40 bucks}\qquad \stackrel{total~price}{40\cdot \cfrac{289}{162}} \\\\\\ \cfrac{5780}{81}\implies 71(29)/(81)\impliedby \textit{about 71 bucks and 36 cents}`