What is the cost of concrete for a walkway that is 15 feet long, 8 feet wide and 9 inches deep if the concrete costs $30 per cubic yard?
To find the cost of concrete for the walkway, we need to calculate the volume of the walkway first. The formula for calculating the volume of a rectangular solid is length × width × height.
In this case, the length of the walkway is 15 feet, the width is 8 feet, and the depth is 9 inches. However, we need to convert the depth from inches to feet since the other dimensions are in feet. There are 12 inches in a foot, so 9 inches is equal to 9/12 = 0.75 feet.
Now we can calculate the volume:
Volume = length × width × depth
= 15 ft × 8 ft × 0.75 ft
= 90 ft³
Since concrete is usually sold by cubic yards, we need to convert the volume from cubic feet to cubic yards. There are 27 cubic feet in a cubic yard, so we can divide the volume by 27.
Volume in cubic yards = 90 ft³ / 27 ft³/cubic yard
= 3.33 cubic yards (rounded to two decimal places)
Finally, to determine the cost of the concrete, we can multiply the volume in cubic yards by the cost per cubic yard:
Cost = Volume in cubic yards × Cost per cubic yard
= 3.33 cubic yards × $30/cubic yard
= $99.90
The cost of concrete for the walkway is approximately $99.90.
To find out the cost of concrete for the walkway, we need to calculate the volume of concrete required first.
1. Convert the depth of the walkway from inches to feet: 9 inches ÷ 12 = 0.75 feet
2. Calculate the volume of the walkway: Length × Width × Depth
Volume = 15 feet × 8 feet × 0.75 feet = 90 cubic feet
3. Convert the volume from cubic feet to cubic yards: 90 cubic feet ÷ 27 (cubic feet per cubic yard) = 3.33 cubic yards
4. Multiply the volume by the cost per cubic yard of concrete:
Cost = 3.33 cubic yards × $30/cubic yard = $99.90
Therefore, the cost of concrete for the walkway would be $99.90.
keeping all the measurements in yards,
(15/3)(8/3)(8/36)($30)