The paint in a certain container is sufficient to paint an area equal

1.	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» 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.

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»

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.