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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 × 10 cm × 7.5 cm can be painted out of this container? - CBSE Class 9 - Mathematics

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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 × 10 cm × 7.5 cm can be painted out of this container?

Solution

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

= [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

Let n bricks can be painted out by the paint of the container.

Area of n bricks = (n ×937.5) cm2 = 937.5n cm2

Area that can be painted by the paint of the container = 9.375 m2 = 93750 cm2

∴ 93750 = 937.5n

n = 100

Therefore, 100 bricks can be painted out by the paint of the container.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Class 9 (2018 to Current)
Chapter 13: Surface Area and Volumes
Ex. 13.10 | Q: 4 | Page no. 213

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Solution 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? Concept: Surface Area of a Cuboid and a Cube.
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