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How many bricks each of size $25 cm × 10 cm × 8 cm$ will be required to build a wall $5 m$ long, $3 m$ high and $16 cm$ thick, assuming that the volume of sand and cement used in the construction is negligible?

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2340

1450

1200

3429

answer is C.

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Detailed Solution

It is given dimensions of each brick as

25 cm × 10 cm × 8 cm

and that of wall as length 5 m, height 3 m, and thickness 16 cm.
The formula for converting the value in meter to cm is given by:

1 m = 1 × 100 c m

…. (1)
Convert the length of the wall from

5 m

to equivalent cm using the formula

1

⇒ 5 m = 5 × 100 c m ⇒ 5 m = 500 c m

Convert the height of the wall from

3 m

to equivalent cm using the formula

1

⇒ 3 m = 3 × 100 c m ⇒ 3 m = 300 c m

Size of the wall =

500 c m × 300 c m × 16 c m

Size of the brick

= 25 c m × 10 c m × 8 c m

Determine the number of bricks required by dividing the size of the wall by the size of
Number of bricks =

500 c m × 300 c m × 16 c m 25 c m × 10 c m × 8 c m

Number of bricks

= 20 × 30 × 2

⇒

Number of bricks

= 1200

Thus, the number of bricks required is 1200.
Hence option (3) is correct.

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