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Quantitative Aptitude

Solid Geometry

The number of...

Question

The number of bricks, each measuring 25 cm $\times$ 12.5 cm $\times$ 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is:

3040

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5740

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6080

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8120

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Solution

The correct option is A 6080
Volume of the bricks $= 95 %$ of volume of wall $= (\frac{95}{100} \times 600 \times 500 \times 50) c m^{3}$

Volume of 1 brick $= (25 \times 12.5 \times 7.5) c m^{3}$

$∴$ Number of bricks $= \frac{Volume of bricks}{Volume of 1 brick}$
$= (\frac{95}{100} \times \frac{600 \times 500 \times 50}{25 \times 12.5 \times 7.5}) = 6080$

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The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is:

The correct option is A 6080Volume of the bricks =95% of volume of wall =(95100×600×500×50)cm3 Volume of 1 brick =(25×12.5×7.5) cm3 ∴ Number of bricks =Volume of bricksVolume of 1 brick=(95100×600×500×5025×12.5×7.5)=6080

The number of bricks, each measuring 25 cm $\times$ 12.5 cm $\times$ 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is: