How many cubic yards of concrete are needed to make 1200 square concrete posts 9 inches by 9 inches by 6 feet?
well, how many cubic yards in a single post? Expressing the dimensions in yards, the volume is
(9/36)(9/36)(6/3) yd^3
convert to yards
1/4*1/4*2
Solve to get 1/8
1/8 multiplied by 1200 = 150
To determine the cubic yards of concrete needed, we first need to calculate the volume of one concrete post, and then multiply it by the total number of posts.
The volume of a rectangular shape, such as a concrete post, is calculated by multiplying its length, width, and height (or thickness). In this case, the length is 9 inches, the width is also 9 inches, and the height is 6 feet.
However, we need to ensure that all measurements are in the same unit. Since we want the answer in cubic yards, we need to convert the measurements to yards:
- 9 inches is equal to 9/36 = 0.25 yards (since 1 yard = 36 inches)
- 6 feet is equal to 6/3 = 2 yards (since 1 yard = 3 feet)
Now we can calculate the volume of one concrete post in cubic yards:
Volume = Length * Width * Height
Volume = 0.25 yards * 0.25 yards * 2 yards
Volume = 0.125 cubic yards
Now that we know the volume of one concrete post, we can multiply it by the total number of posts to find the total volume of concrete needed:
Total Volume = Volume of one post * Total number of posts
Total Volume = 0.125 cubic yards * 1200 posts
Total Volume = 150 cubic yards
So, you would need 150 cubic yards of concrete to make 1200 square concrete posts measuring 9 inches by 9 inches by 6 feet each.