length of the wall, l = 10 m = 100 cm
Breadth of the wall, b = 42 m = 4200 cm
Height of the wall, h = 5 m = 500 cm
Volume of the wall = l × b × h = 100 cm × 4200 cm × 500 cm = 21000000 cm3
Dimension of the brick = 42 cm × 12 cm × 10cm
∴ Volume of each brick = 42 cm × 12cm × 10 cm = 5040 cm3
Let the number of bricks required be n.
n × Volume of each brick = Volume of the wall
therefore, n= vol of the wall/ vol of each brick
n= 21000000cm³/5040cm³
n= 4166.67
Thus, the number of brick required is 4166.67