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in Surface Area and Volume of Cube and Cuboid by (35.3k points)
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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?

1 Answer

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Best answer

Let the number of bricks be equal to x of dimension 22.5 cm x 10 cm x 7.5 cm which can be painted out of the given container.

Surface area of 1 brick 

= 2(l x b + b x h + h x l)

= 2(22.5 x 10 + 10 x 7.5 + 7.5 x 22.5) cm2

= 2(225 + 75 + 168.75) cm2

= 2 x 468.75 cm2

= 937.5 cm2

According to question

x x 937.5 cm2 = 9.375 m2

1 m2 = 10000 cm2

⇒ x x 937.5 cm2 = 9.375 x 10000 cm2

⇒ x = \(\frac { 9.375\times10000 }{ 937.5 }\)

⇒ x = 100

Hence, required number of bricks = 100.

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