Question

question 3
3.1
the cupidos own a workshop. they are planning to put cladding bricks on the eastern wall of the workshop.
the diagram below shows a representation of the eastern wall of the workshop as well as some information about the cladding bricks to be used.
diagram of the eastern wall of the workshop
information about cladding bricks
note:

• the part marked c will not be cladded.
• the area of the window is 0,9 m²

note:
one box contains:
52 cladding bricks
size of one cladding brick:
211 mm × 64 mm
price per box:
r425,00 (vat excl.)
the bricks can be cut and any size brick can then be used.
you may use the formula:
area of rectangle = length × width
adapted from bricktileshop.co.za
use the information above to answer the questions that follow.
3.1.1 identify the shape of the part marked c.
3.1.2 show through calculations, that the area of the wall that must be cladded is 19,62 m².
3.1.3 calculate the number of boxes of cladding bricks that the cupidos will need to buy to cover the eastern wall.
3.1.4 calculate the total cost of the cladding bricks, including vat, to cover the wall.

Explanation:

3.1.1

By observing the diagram, the part marked C has three sides and three angles, which is the characteristic of a triangle.

Step1: Calculate the area of the rectangular part

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 7.6m\) and \(w=2.7m\). So, \(A_{rectangle}=7.6\times2.7 = 20.52m^{2}\)

Step2: Subtract the area of the window

The area of the window is \(0.9m^{2}\). The area to be cladded \(A = 20.52- 0.9=19.62m^{2}\)

Step1: Calculate the area of one brick

The size of one brick is \(211mm\times64mm\). Convert to meters: \(211mm = 0.211m\) and \(64mm=0.064m\). The area of one brick \(A_{brick}=0.211\times0.064 = 0.013504m^{2}\)

Step2: Calculate the number of bricks needed

Number of bricks \(n=\frac{19.62}{0.013504}\approx1453\)

Step3: Calculate the number of boxes

One box contains 52 bricks. Number of boxes \(N=\frac{1453}{52}\approx28\) (using the ceiling - function since we can't buy a fraction of a box)

Answer:

Triangle

3.1.2