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 X10 cm X 7.5 cm
can be painted out of this container?

Answer 1

How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container? ... Ex 13.1, 4 - Chapter 13 Class 9 Surface Areas and Volumes.

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.

Answer :-

Total area that can be painted = 9.375 m^2

Here, Length of a brick (l) = 22.5 cm

Breadth of a brick (b) = 10 cm

Height of a brick (h) = 7.5 cm

Since a brick is like a cuboid, then

Total surface area of a brick = 2[lb + bh + hl]

= 2[(225 x 1(0) + (10 x 7.5) + (7.5 x 22.5)] cm^2

= 2[(225) + (75) + (168.75)] cm2

= 2[468.75] cm^2 = 937.5 cm^2 = 937.5/10000 m^2

Let the required number of bricks be n

∴ Total surface area of n bricks = n x 937.5/10000 m^2

⇒ n × 937.5/10000 = 9375/1000 m^2 [given]

⇒ n = 9375/1000 × 937.5/10000 ⇒ n = 100

Thus, the  required number of bricks = 100

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