Question

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 ft by 17 ft by 2 in. for a patio if the concrete costs $40.00 per cubic yard? (1 cubic yard = 27 cubic feet)

Answer 1

Answer:

It will cost approximately $71.360.

Step-by-step explanation:

Given,

The dimension of the concrete is 17 ft by 17 ft by 2 in.

1 ft = 12 inches ⇒ 2 inches = 1/12 × 2 = 1/6 ft.

Thus, the dimension of the concrete is 17 ft by 17 ft by 1/6 ft.

Now, the volume of the concrete = 17 × 17 × 1/6

$=\frac{289}{6}\text{ cubic ft}$

We know that,

1 cubic yard = 27 cubic feet

$\implies 1 \text{ cubic feet}=\frac{1}{27}\text{ cubic yards}$

$\implies \frac{289}{6}\text{ cubic ft}=\frac{289}{6}\times \frac{1}{27} = \frac{289}{162}\text{ cubic yards}$

Since,  the concrete costs $40.00 per cubic yard.

Hence, the total cost of concrete = $\frac{289}{162}\times 40=\frac{11560}{162}=\ 71.3580247\approx \ 71.360$

Answer 2

40(2/36)(17/3)^2≈$71.36  (to nearest cent)