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A boundary wall 8 m long, 3 m high and 25 cm thick is to be built from bricks each measuring 25 cm by 12.5 cm by 7.5 cm. How many bricks are needed, assuming no mortar?

Competition practiceMensuration
  • A256
  • B768
  • C2560
  • D25600

Step-by-Step Solution

Work in centimetres throughout: the wall is 25 = 6000000 cubic cm and each brick is 7.5 = 2343.75 cubic cm, so the count = 6000000/2343.75 = 2560. The trap 768 compares the wall's FACE area 240000 sq cm with a brick's face 312.5 sq cm, which ignores how many bricks lie through the thickness; 256 reads the thickness as 25 mm rather than 25 cm; 25600 comes from a misplaced decimal point in the brick's volume, using 234.375.
Answer: C) 2560

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