Q.2: 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?
Question
Q.2: 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?
Solution
To solve this problem, we need to first understand that the area that can be painted is the surface area of the bricks.
Step 1: Calculate the surface area of one brick The surface area of a brick is given by the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Given that the dimensions of the brick are 22.5 cm × 10 cm × 7.5 cm, the surface area of one brick is 2(22.510) + 2(22.57.5) + 2(10*7.5) = 450 + 337.5 + 150 = 937.5 cm^2.
Step 2: Convert the surface area from cm^2 to m^2 Since 1 m^2 = 10,000 cm^2, the surface area of one brick in m^2 is 937.5/10,000 = 0.09375 m^2.
Step 3: Calculate the number of bricks that can be painted Given that the paint in the container is sufficient to paint an area of 9.375 m^2, the number of bricks that can be painted is 9.375/0.09375 = 100 bricks.
Therefore, 100 bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of the container.
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