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    The paint in a container is sufficient to paint an area equal to 9.375 m2m^2m2​, How many bricks, each measuring 22.5cm×10cm×7.5cm22.5 cm \times
    Question

    The paint in a container is sufficient to paint an area equal to 9.375 m2m^2​, How many bricks, each measuring 22.5cm×10cm×7.5cm22.5 cm \times 10 cm \times 7.5 cm​ can be painted with the paint in the container?

    A.

    170

    B.

    120

    C.

    100

    D.

    150

    Correct option is C

    Given:
    paint an area equal to 9.375 m2^2​​
    many bricks, each measuring 22.5 cm x 10 cm x 7.5 cm
    Formula used :
    Total surface area of one brick = 2(lb + bh + lh)
    Solution:
    =[2(22.5×10+10×7.5+22.5×7.5)]cm2 =2(225+75+168.75)cm2 =(2×468.75)cm2 =937.5cm2= [2(22.5 \times10 + 10 \times 7.5 + 22.5 \times 7.5)] cm² \\\ \\= 2(225 +75 + 168.75) cm²\\\ \\= (2 \times 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(n \times 937.5) cm² = 937.5n \ cm²​​
    Area that can be painted by the paint of the container = 9.375 m² = 93750 cm2^2​​
    93750 =  937.5n
    n = 100
    Therefore, 100 bricks can be painted out by the paint of the container.

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