If a pool deck of 650 square feet is to be laid with concrete 3" thick, what volume of concrete will have to be poured in cubic yards? (Give answer in nearest whole cubic yard.)
V = (L*W) * h = (650)Ft^2 * 0.25Ft =
162.5 Ft^3.
V = 162.5Ft^3 * 1yd^3/27Ft^3 = 6 yds^3
To calculate the volume of concrete needed, start by converting the thickness from inches to feet. Since there are 12 inches in 1 foot, 3 inches is equal to 3/12 = 0.25 feet.
Next, multiply the area of the pool deck by the thickness to find the volume:
Volume = Area × Thickness
Area = 650 square feet
Thickness = 0.25 feet
Volume = 650 sq ft × 0.25 ft
Volume = 162.5 cubic feet
Finally, convert the volume from cubic feet to cubic yards. Since there are 27 cubic feet in 1 cubic yard, divide the volume by 27:
Volume (cubic yards) = 162.5 cubic feet ÷ 27
Volume (cubic yards) ≈ 6 cubic yards
Therefore, approximately 6 cubic yards of concrete will need to be poured.
To find the volume of concrete needed, we need to first figure out the area of the pool deck and then determine the volume by considering the thickness of the concrete.
1. Calculate the area of the pool deck:
The area is given as 650 square feet.
2. Determine the volume of concrete:
We know the thickness of the concrete is 3 inches, which needs to be converted to feet. Since there are 12 inches in a foot, we divide 3 inches by 12 to get 0.25 feet.
Now, we can calculate the volume of concrete by multiplying the area by the thickness:
Volume = Area × Thickness
Volume = 650 sq ft × 0.25 ft
Performing the calculation:
Volume = 162.5 cubic feet
3. Convert cubic feet to cubic yards:
Since there are 27 cubic feet in a cubic yard (3 ft × 3 ft × 3 ft), we divide the volume by 27:
Volume (in cubic yards) = 162.5 cubic feet / 27
Performing the calculation:
Volume ≈ 6.02 cubic yards
Rounding to the nearest whole cubic yard, the volume of concrete required is approximately 6 cubic yards.