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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?



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Answer 1

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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?

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□Volume of paint =9.375m²

□ Dimension of brick = (22.5×10×75)cm

□ Total surface area of brick = 2(lb + bh + lh) cm2 

□

$= 2(22.5×10 + 10×7.5 + 22.5×7.5) cm2$

□

$2(225 + 75 + 168.75) cm2$

□

$= 2×468.75 cm2 = 937.5 cm2$

■■Number of bricks can be painted = 93750/937.5 = 100

Hence, 100 is the answer ..

Answer 2

QUESTION:-

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?

SOLUTION:-

GIVEN:-

• Dimensions of the brick = 22.5cm × 10cm × 7.5cm

Since brick is cuboidal in shape, the surface area of the brick will be the total surface area of the cuboid.

Hence, the area of each brick to be painted will be the total surface area of the cuboid

• Total surface area of cuboid = 2(Lb + bh + hL)

The number of bricks that can be painted out of the container can be calculated by dividing the area which can be painted with paint available in the container by the area of each brick.

The area which can be painted with the paint available in the container = 9.375m²

Let the length, breadth, and height of the bricks be L, b, and h respectively.

• L = 22.5 cm

• = 22.5 cmb = 10 cm

• = 22.5 cmb = 10 cmh = 7.5 cm

The area of each brick to be painted

• = 2(Lb + bh + hL)

• = 2 × (22.5 cm × 10 cm + 10 cm × 7.5 cm + 7.5 cm × 22.5 cm)

• = 2 × (225 cm² + 75 cm² + 168.75 cm²)

• = 2 × 468.75 cm²

• = 937.5 cm²

THEREFORE:-

Number of bricks that can be painted = The area which can be painted with the paint available in the container / The area of each brick

• = 9.375 m² / 937.5 cm²

• = (9.375 × 10000 cm2) / 937.5 cm² [since 1m² = 10000cm²]

• = 100

ANSWER:-

The number of bricks that can be painted out of the container is 100.