Question

The paint in a certain container is sufficient to paint an area equal to 9.375 sq.m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?

Answer 1

QuestioN :

The paint in a certain container is sufficient to paint an area equal to 9.375 sq.m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?

GiveN :

• Area painted by certain container => 9.375m²
• Length of the brick => 22.5 cm
• Breadth of the brick => 10 cm
• Height of the brick => 7.5 cm

To FiNd :

• Number of brick that can be painted out of the container.

ANswer :

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

Here, l = 22.5 cm, b = 10 cm, h = 7.5 cm

Surface area of 1 brick  = 2(lb + bh + hl)

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

= 2(225 + 75 + 168.75) cm²  

= 2 x 468.75 cm²

= 937.5 cm²

Area that can be painted by the container = 9.375 m² (given)

= 9.375 × 10000 cm²

= 93750 cm²

Thus, the required number of bricks = (Area that can be painted by the container)/(Surface area of 1 brick)

$\sf = \dfrac{93750}{937.5}$

$\sf = \dfrac{937500}{9375}$

= 100

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

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