Question

1. calculez la maçonnerie requise (seulement la brique) si seule la façade du bâtiment principal est briquée.

seul le mur de façade\test briqué, il ny a
pas de brique au
pignon.
la brique fait 9\
2 2/3 po x 8 po et le
mortier aura un joint
dune épaisseur
de 1/2 po.
24 pi
8 pi 6
3 pi
6 pi
2 pi
5 pi

Explanation:

Step1: Convert units to inches

First, convert all feet measurements to inches (1 pi = 12 po):

• Facade height: $8\pi\ 6 = 8\times12 + 6 = 102$ po
• Facade width: $24\pi = 24\times12 = 288$ po
• Door dimensions: $6\pi = 72$ po (height), $3\pi = 36$ po (width)
• Window dimensions: $2\pi = 24$ po (height), $5\pi = 60$ po (width)

Step2: Calculate total facade area

$$\text{Total Area} = \text{Width} \times \text{Height} = 288 \times 102 = 29376\ \text{po}^2$$

Step3: Calculate area of openings

$$\text{Door Area} = 72 \times 36 = 2592\ \text{po}^2$$
$$\text{Window Area} = 24 \times 60 = 1440\ \text{po}^2$$
$$\text{Total Openings Area} = 2592 + 1440 = 4032\ \text{po}^2$$

Step4: Calculate net brick area

$$\text{Net Area} = \text{Total Area} - \text{Total Openings Area} = 29376 - 4032 = 25344\ \text{po}^2$$

Step5: Calculate effective brick size (with mortar)

Add 1/2 po mortar to each brick dimension:

• Brick height (with mortar): $2\frac{2}{3} + \frac{1}{2} = \frac{8}{3} + \frac{1}{2} = \frac{19}{6} \approx 3.1667$ po
• Brick width (with mortar): $8 + \frac{1}{2} = 8.5 = \frac{17}{2}$ po

$$\text{Effective Brick Area} = \frac{19}{6} \times \frac{17}{2} = \frac{323}{12} \approx 26.9167\ \text{po}^2$$

Step6: Calculate base number of bricks

$$\text{Base Bricks} = \frac{\text{Net Area}}{\text{Effective Brick Area}} = \frac{25344}{\frac{323}{12}} = 25344 \times \frac{12}{323} \approx 943.23$$

Step7: Add 5% waste factor

$$\text{Total Bricks} = 943.23 \times 1.05 \approx 990.39$$
Round up to the nearest whole brick.

Answer:

Approximately 991 bricks (or 990 bricks if rounding to the nearest whole number without strict upward rounding)