Question

the rectangular compound wall of a house measures 20m long,15m broad, 5m high and 12cm thick,find the cost of building the walls bu using bricks of size 15cm*10cm*5cm the rate of cost of bricks is rs.2000 per 1000 bricks and 5 days is required for 4 labours to finish the work labour charge is rs.950 per labour per day.

Answer 1

Given that , the rectangular compound wall of a house measure 20 m long , 15 m broad , 5 m height, and 12 cm = 0.12 m thick

The volume of the wall is =2(length × height+ broad×height ) ×thickness

= 2(20×5+15×5)× 0.12 m³

= 42 m³

$= 42 \times {10}^{6} {cm}^{3}$

The dimension of a brick is 15 cm×10 cm× 5 cm

Therefore the volume of a brick is =(15×10×5) cm³

=750 cm³

Therefore the number of brick required to make the wall is =

$\frac{42 \times 10 {}^{6} }{720}$

≈58,334

The cost of 58,334 bricks is

$\frac{58334 \times 20000}{1000}$

= Rs. 1166680

Total labour charges is = Rs(5×4×950)

= Rs.19000

The total cost to build the wall = Rs.(1166680+19000) =Rs. 1185680