#### Question

The paint in a certain container is sufficient to paint an area equal to 9.375 m^{2}. 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)] cm^{2}

= 2(225 + 75 + 168.75) cm^{2}

= (2 × 468.75) cm^{2}

= 937.5 cm^{2}

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

Area of *n* bricks = (*n* ×937.5) cm^{2} = 937.5*n* cm^{2}

Area that can be painted by the paint of the container = 9.375 m^{2} = 93750 cm^{2}

∴ 93750 = 937.5*n*

*n* = 100

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

Is there an error in this question or solution?

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.