Answer:

To determine how many bricks can be painted out of the given container of paint, we need to calculate the total area that needs to be painted on the bricks and then divide the total area of the container by the area of each brick.

The total area of one brick can be calculated as follows:

Area of one brick = Length x Width + Length x Height + Width x Height

Area of one brick = 22.5 cm x 10 cm + 22.5 cm x 7.5 cm + 10 cm x 7.5 cm

Now we need to convert the dimensions of the brick into meters to match the area provided:

Area of one brick = (0.225 m x 0.1 m) + (0.225 m x 0.075 m) + (0.1 m x 0.075 m)

Simplifying the equation:

Area of one brick = 0.0225 m² + 0.016875 m² + 0.0075 m²

Area of one brick = 0.046875 m²

Now, to determine how many bricks can be painted out of the container, we divide the total area of the container by the area of one brick:

Number of bricks = Total area of container / Area of one brick

Number of bricks = 9.375 m² / 0.046875 m²

Calculating the answer:

Number of bricks = 200

Therefore, you can paint 200 bricks of dimensions 22.5 cm x 10 cm x 7.5 cm using the given container of paint.

Hope that helps!

Verified answer

Answer:

100 bricks of dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container.

Step-by-step explanation:

Dimensions of bricks are as follow:

Length of brick, l = 22.5 cm

Breadth of brick, b = 10 cm

Height of brick, h = 7.5 cm

Now, The area of brick to be painted is equals to total surface area of a brick.

[tex]\bf\: Area\:of\:brick\:to\:be\:painted \\ [/tex]

[tex]\sf\: = \: 2(lb + bh + hl) \\ [/tex]

[tex]\sf\: = \: 2(22.5 \times 10 + 10 \times 7.5 + 7.5 \times 22.5) \\ [/tex]

[tex]\sf\: = \: 2(225 + 75 + 168.75) \\ [/tex]

[tex]\sf\: = \: 2(300 + 168.75) \\ [/tex]

[tex]\sf\: = \: 2(468.75) \\ [/tex]

[tex]\sf\: = \: 937.50 \: {cm}^{2} \\ [/tex]

Now, Let assume that number of bricks of dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container which is sufficient to paint an area equal to 9.375 m².

So, We have

[tex]\sf\: n \times 937.50 = 9.375 \times 100 \times 100 \\ [/tex]

[tex]\sf\: n \times 937.5 = 937.5 \times 100 \\ [/tex]

[tex]\implies\sf\:n = 100 \\ [/tex]

Hence,

100 bricks of dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container.