Final answer:
The cost of the concrete for a foundation 15 feet by 14 feet and 3 inches thick, at $90 per cubic yard, is approximately $175.00. The given options do not contain the correct answer.
Step-by-step explanation:
To determine the cost of the concrete for the foundation, you first need to calculate the volume of the foundation in cubic feet, then convert that to cubic yards (since concrete is sold by the cubic yard), and finally multiply by the price per cubic yard.
The volume (V) in cubic feet is calculated as:
V = length × width × thickness
Here, the length is 15 feet, the width is 14 feet, and the thickness is 3 inches (which is 0.25 feet since there are 12 inches in a foot). Thus:
V = 15 × 14 × 0.25 = 52.5 cubic feet
Since there are 27 cubic feet in a cubic yard, we convert the volume to cubic yards:
cubic yards = 52.5 / 27 ≈ 1.9444 (rounded to four decimal places)
To find the cost, we multiply the volume in cubic yards by the price per cubic yard:
cost = cubic yards × price per cubic yard = 1.9444 × $90 ≈ $175.00
So, none of the given options (a-d) are correct; the cost of the concrete would be approximately $175.00.