Question

How many bricks will be required to construct a wall 12 m long, 4 m high and 24 cm thick? If each brick measures 24 cm x 12 cm x 8 cm.    
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Answer 1

First for uniform calculations we change the metres into centimetres...

Note : 100 cm = 1 metre

Volume of a cuboid is given by,

$l \times b \times h$

Therefore, Volume of the brick by substituting the values of l, b, h,

$24 \times 12 \times 8 \\ \\ = > 2304 \: {cm}^{3}$

Similarly, Volume of Wall, by substituting the values of l, b, h,

$1200 \times 400 \times 24 \\ \\ = > 11520000 \: {cm}^{3}$

Therefore,

$No. \: of \: Bricks \: Required = \frac{Volume \: of \: Wall}{Volume \: of \: Brick}$

By substituting volume of wall and volume of brick, in the above formula,

$\frac{11520000 \: {cm}^{3} }{2304 \: {cm}^{3} } = 5000\: bricks$

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