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?

Answer 1

Step-by-step explanation:

Volume of paint = 9.375 m2 = 93750 cm2

Dimension of brick = 22.5 cm×10 cm×7.5 cm

Total surface area of a 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

Answer 2

Answer:

100 bricks

Explanation:

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

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

Assume “x” bricks to be painted out of this container.

So,Area of x bricks = (x × 937.5)cm² = 937.5xcm²

Convert m² in cm²

⇒ 9.375m²

⇒ 93750 cm²

∴ 93750 = 937.5x

⇒ x = 93750/937.5

⇒ x = 100

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