The paint in a certain container is sufficient to paint on an area equal to 9.375

m
2

.[[1]] bricks of dimension 22.5 cm10cm 7.5 cm can be painted out of this container.

Question

The paint in a certain container is sufficient to paint on an area equal to 9.375

m
    2

.[[1]] bricks of dimension 22.5 cm10cm 7.5 cm can be painted out of this container.

Accepted Answer

The paint in a certain container is sufficient to paint on an area equal to 9.375

m
    2

. 100 bricks of dimension

22.5cm×10cm×7.5cm
  can be painted out of this container.Given-The length (l) of a brick is 22.5 cm. The breadth (b) of a brick is 10 cm. The height (h) of a brick is 7.5 cm. The area that can be painted using paint is 9.375 m². To find- the number of bricks that can be painted. To find the surface area of 1 brick we will use the formula,The total surface area of 1 brick = 2(lb + bh +lh), where l is the length, b is the breadth and h is the height of the cuboid.

⇒TSA=2(22.5×10+22.5×7.5+10×7.5)
    
     cm
    2

⇒TSA=937.5
    
      cm
    2

-eq.(2)Area that can be painted using paint = 9.375

m
    2

Since,

1
    m
    2
   
   =10000c
    m
    2

.So, the area that can be painted is given by,

⇒Area=(9.375×10000)c
      m
      2

⇒Area=93750c
      m
      2

⇒
  Area that can be painted using paint = 93750 cm² Assume that the number of bricks that can be painted is ‘n’. No. of bricks that can be painted = n Then, Total surface area of n bricks = 937.5

×
  n cm² The area that can be painted using paint = Total surface area of n bricks.

⇒93750 n
    
     cm
    2
   
   =937.5n 
    
     cm
    2

⇒n=
    
     93750 
      
       cm
      2

937.5 
      
       cm
      2

⇒
  n = 100Hence, 100 bricks of dimension

22.5 cm×10 cm×7.5 cm
   can be painted out of this container.

The paint in a certain container is sufficient to paint on an area equal to 9.375 $m 2$ .

[[1]] bricks of dimension 22.5 cm10cm 7.5 cm can be painted out of this container.

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The paint in a certain container is sufficient to paint on an area equal to 9.375 m 2 .[[1]] bricks of dimension 22.5 cm10cm 7.5 cm can be painted out of this container.

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The paint in a certain container is sufficient to paint on an area equal to 9.375 $m 2$ .

[[1]] bricks of dimension 22.5 cm10cm 7.5 cm can be painted out of this container.