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in Surface Areas And Volumes by (65.3k points)

The paint in a certain container is sufficient to paint an area equal to 9.375 m2 . How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container ?

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Length of Brick l = 22.5 cm 

breadth, b = 10 cm 

height, h = 7.5 cm. 

Area to be painted, A = 9.375 m2 

= 93750 cm2 

Total surface area of brick, A 

A= 2(lb + bh + lh) 

= 2[22 × 10 + 10 × 7.5 + 22.5 × 7.5] 

= 2[468.75] = 937.5 cm2

Number of bricks to be painted, 

For 937.5 cm2 , 1 brick is required 

For 93750 cm2 …??…

\(\frac{93750}{937.5}\) = \(\frac{937500}{9375}\)

= 100 

∴ 100 bricks has to be painted.

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