A wall 15 m long- 30 cm wide and 4 m high is made of bricks- each measuring 22-cm-12-5-cm-7-5-cm-If1-12-of the total volume of the wall consists of mortar- how many bricks are there in the wall -

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A wall 15 m l...

Question

$A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring (22 c m \times 12.5 c m \times 7.5 c m) . I f \frac{1}{12} of the total volume of the wall consists of mortar, how many bricks are there in the wall ?$

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Solution

Height of the wall = 4m = 400cm

Length of the wall = 15m = 1500cm

Width of the wall = 30cm

∴ Volume of the wall = (400 1500 30)cm3 = 18000000 $c m^{3}$

Given that 1/12 volume of wall consist of mortar .

Volume of the wall consisting of mortar = $\frac{18000000 c m^{3}}{12}$ = 1500000 $c m^{3}$

Sothat Volume of wall consisting of bricks = 18000000 - 1500000 = 16500000 $c m^{3}$

Dimensions of brick l = 20 cm, b = 12.5 cm, h = 7.5 cm.

Volume of each brick = (20 x 12.5 x 7.5) cm3 = 1875 $c m^{3}$

Now the number of bricks in wall = $\frac{V o l u m e o f t h e w a l l c o n s i s t i n g o f b r i c k s}{V o l u m e o f o n e b r i c k}$

Number of bricks in wall = 16500000/1875 = 8800.

Thus, there are 8800 bricks in the wall.

Hence, the required number of bricks is 8800.

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A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring (22 cm×12.5 cm×7.5 cm).If112 of the total volume of the wall consists of mortar, how many bricks are there in the wall ?

$A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring (22 c m \times 12.5 c m \times 7.5 c m) . I f \frac{1}{12} of the total volume of the wall consists of mortar, how many bricks are there in the wall ?$