A driveway 18 ft. wide and 36 ft. long is to be paved with concrete 3 in. thick. How many cubic yards of concrete are required?
V = L*W*h = 36 * 18 * 0.25 = 162 Ft^3
V = 162Ft^3 * 1yd^3/27Ft^3 = 6 Yds^3.
To find the cubic yards of concrete required, we need to calculate the volume of the driveway.
Step 1: Convert the measurements to the same unit
Since the thickness of the driveway is given in inches, we need to convert the width, length, and thickness to feet.
Width: 18 ft.
Length: 36 ft.
Thickness: 3 in. = 3/12 ft. = 0.25 ft.
Step 2: Calculate the volume of the driveway
The volume of a rectangular solid is given by the formula: Volume = Length x Width x Height.
Volume = 18 ft. x 36 ft. x 0.25 ft.
Volume = 162 ft³.
Step 3: Convert the volume to cubic yards
To convert the volume from cubic feet to cubic yards, divide the volume by 27 (because there are 27 cubic feet in a cubic yard).
Volume in cubic yards = 162 ft³ / 27.
Volume in cubic yards = 6 yd³.
Therefore, 6 cubic yards of concrete are required to pave the driveway.
To find the answer to this question, we need to calculate the volume of the concrete required to pave the driveway. Here's how you can do it step by step:
1. Convert the measurements to a common unit: Since the width and length are given in feet, we need to convert the thickness to feet as well. Since there are 12 inches in a foot, 3 inches is equal to 3/12 = 0.25 feet.
2. Calculate the volume: The volume can be calculated by multiplying the width, length, and thickness of the concrete. So, the volume is:
Volume = Width × Length × Thickness
= 18 ft × 36 ft × 0.25 ft
3. Calculate the cubic yards: Since concrete is often measured in cubic yards, we need to convert the volume to cubic yards. There are 27 cubic feet in a cubic yard, so dividing the volume by 27 will give us the answer.
Cubic Yards = Volume / 27
Now, let's calculate the answer:
Volume = 18 ft × 36 ft × 0.25 ft = 162 cubic feet
Cubic Yards = 162 cubic feet / 27 = 6 cubic yards
Therefore, you would need 6 cubic yards of concrete to pave the driveway.