Question

Estimate the number of bricks needed for a wall 10 feet by 17.5 feet, having one door 4 feet by 13.5 feet and two windows each 3 feet by 6 feet. Each brick has faces measuring 8 inches by 2 1/4 inches, with half-inch joints between the bricks.

Answer 1

To estimate the number of bricks needed for the wall, calculate the total area of the wall, subtract the areas of the door and windows, and then divide by the area of each brick and joint.

Step-by-step explanation:

To estimate the number of bricks needed for the wall, we need to calculate the total area of the wall, subtract the areas of the door and windows, and then divide by the area of each brick and joint.

1. Calculate the total area of the wall: 10 feet * 17.5 feet = 175 square feet.
2. Calculate the area of the door: 4 feet * 13.5 feet = 54 square feet.
3. Calculate the area of both windows: 2 * (3 feet * 6 feet) = 36 square feet.
4. Subtract the areas of the door and windows from the total wall area: 175 square feet - 54 square feet - 36 square feet = 85 square feet.
5. Calculate the area of each brick and joint: Brick face = 8 inches * 2.25 inches = 18 square inches, Joint = 0.5 inches * 8 inches = 4 square inches.
6. Convert the wall area to square inches: 85 square feet * 144 square inches/square foot = 12,240 square inches.
7. Calculate the total area of bricks and joints: Brick area = 18 square inches + 4 square inches = 22 square inches.
8. Divide the wall area by the area of each brick and joint: 12,240 square inches / 22 square inches = 556.36 bricks.

Therefore, an estimated 557 bricks (rounded up) would be needed for the wall.