A mason constructs a wall of dimensions 270cm× 300cm × 350cm with the bricks each of size 22.5cm × 11.25cm × 8.75cm and it is assumed that 1/8 space is covered by the mortar. Then the number of bricks used to construct the wall is
(A) 11100 (B) 11200 (C) 11000 (D) 11300
NCERT Class X
Mathematics - Exemplar Problems
Chapter _SURFACE AREAS AND VOLUMES
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To find the answer to this question first you will need to calculate:
The entire volume of the wall
= 270cm× 300cm × 350cm
= 28350000 cm³
If the mortar covers a space of 1/8 then the bricks covers a volume of 7/8
That is 7/8 of 28350000 = 24806250 cm³
Next step: Find the volume of each brick
22.5cm × 11.25cm × 8.75cm
= 2214.84375
Divide the total volume by the volume of the bricks to find the number of bricks used:
24806250 ÷ 2214.84375 = 11200 bricks
That is a total of 11200 bricks used
The entire volume of the wall
= 270cm× 300cm × 350cm
= 28350000 cm³
If the mortar covers a space of 1/8 then the bricks covers a volume of 7/8
That is 7/8 of 28350000 = 24806250 cm³
Next step: Find the volume of each brick
22.5cm × 11.25cm × 8.75cm
= 2214.84375
Divide the total volume by the volume of the bricks to find the number of bricks used:
24806250 ÷ 2214.84375 = 11200 bricks
That is a total of 11200 bricks used
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