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?
Given:
The dimensions of the brick are:
l = 22.5 cm
b = 10 cm
h = 7.5 cm
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 = Area of 1 brick × n
= (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.