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Mathematics

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 x 10 cm x 7.5 cm can be painted out of this container.

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Answer

Given:

Total area that can be painted = 9.375 m2

Dimensions of each brick = 22.5 cm × 10 cm × 7.5 cm

Since a brick is a rectangular cuboid, its surface area is:

Surface Area of one brick = 2(lb + bh + hl)

= 2(22.5 x 10 + 10 x 7.5 + 7.5 x 22.5)

= 2(225 + 75 + 168.75)

= 2 x 468.75

= 937.5 cm2

= 0.09375 m2

Number of bricks = 9.3750.09375\dfrac{9.375}{0.09375} = 100

Hence, the number of bricks that can be painted = 100.

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