Question:
To costruct a wall 24m long, 0.4m thick and 6m high, bricks of dimensions 25cm×16cm×10cm each are used. if the mortar occupies one tenth of the volume of the wall find the number of bricks used
Answer:
Given, the dimension of the wall = 24* 0.4*6 m
So, volume of the wall = 24* 0.4*6 = 57.6 m3
Again, the dimension of the brick = 25 cm * 16 cm*10 cm
= (25/100) m * (16/100) m*(10/100) m
Now, volume of the one brick = (25/100) * (16/100) *(10/100) m
= 4000/1000000
= 4/1000
= 0.004 m3
Now, volume of the morter = volume of the wall/10
= 57.6/10
= 5.76
Now, volume of the all bricks = 57.6 - 5.76 = 51.84
Number of bricks = volume of the all bricks/volume of the one brick
= 51.84/0.004
= (5184/100)*(1000/4)
= (5184*1000)/(100*4)
= (5184*10)/4
= 51840/4
= 12960
So, the number of bricks used = 12960
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