If 600 bricks measuring 12" by 18" are required to build a wall 10 ft. high (one brick thick), how long is the wall?
The wall is 10 bricks high, so it's 60 bricks long.
60 * 1.5 = 90 feet
To find the length of the wall, we need to convert the measurements given into a consistent unit. Let's convert the measurements to inches since the dimensions of the bricks are given in inches, and then convert the height of the wall to inches as well.
First, we know that 1 foot is equal to 12 inches. So, the height of the wall in inches is:
10 ft. * 12 inches/ft. = 120 inches
Now, let's calculate the total area of all the bricks that are needed for the wall. We need to find the combined length of all the bricks that make up the wall.
Each brick measures 12" by 18", which means the area of each brick is:
12 inches * 18 inches = 216 square inches
To calculate the total length of the wall, we need to divide the total area of the bricks by the height of the wall:
Total length of the wall = Total area of the bricks / Height of the wall
Total area of the bricks = Number of bricks * Area of each brick
Number of bricks = 600 bricks
Area of each brick = 216 square inches
Total area of the bricks = 600 bricks * 216 square inches/brick
Total area of the bricks = 129,600 square inches
Therefore, the total length of the wall is:
Total length of the wall = 129,600 square inches / 120 inches
Total length of the wall ≈ 1080 inches
So, the wall is approximately 1080 inches long.