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Find the number of bricks, each measuring 24 cm×12 cm × 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick if 10% of the wall is filled with mortar?

  • A.450
  • B.4500
  • C.45000
  • D.450000

Answer: C

Work in centimetres throughout.

\[ V_{\text{wall}} = 2400 \times 800 \times 60 = 115{,}200{,}000 \text{ cm}^{3} \]

Mortar fills 10%, so bricks occupy 90%:

\[ 0.9 \times 115{,}200{,}000 = 103{,}680{,}000 \text{ cm}^{3} \]

\[ V_{\text{brick}} = 24 \times 12 \times 8 = 2304 \text{ cm}^{3} \]

\[ n = \frac{103{,}680{,}000}{2304} = 45{,}000 \]

Ignoring the mortar would give 50,000 - a tenth too many.

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