Question

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?

Answer 1

  Surface area:

Surface area of a solid object is a measure

of the total area that the surface of the object occupies and it is always

measured in square unit.

 

Hence surface area is also known as total

surface area TSA.

========================================================

Given:

Dimension of brick = l=22.5 cm, b=10 cm, c=7.5

cm

 

Total surface area of a container= 9.375 m²

Total surface area of a brick = 2(lb + bh

+ lh) 

= 2(22.5×10 + 10×7.5 + 22.5×7.5) 

= 2(225 + 75 + 168.75)

= 2×468.75

 = 937.5 cm²

= 937.5/100×100 m²

Number of bricks that painted out of this

container= total area painted by containers paint / total surface area of a

brick

 

=9.375/ (937.5/100×100)

 =( 9.375×100×100)

/ 937.5

= 937500/ 9375= 100

Hence,100 bricks can be painted out.

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Hope this will help you...

Answer 2

⠀⠀⠀⠀⠀⠀${\rm{\purple{\underline{\underline{★Required \:Answer★}}}}}$

100

⠀⠀⠀⠀⠀${\rm{\pink{\underline{\underline{★Solution★}}}}}$

${\rm{\red{\underline{\underline{Given : }}}}}$

• paint in a container is sufficient to paint an area of 9.375 sq. m.

${\rm{\blue{\underline{\underline{To \: Find: }}}}}$

• No. of Bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container

${\rm{\purple{\underline{\underline{Formula \: Used: }}}}}$

Number of bricks that can be painted out of the container :-

$\rm \: \frac{Area \: than \: can \: be \: painted \: by \: the \: container}{Surface \: area \: of \: brick}$

Total surface area of one brick 2(lb + bh + lh)

where,

l = length of the brick

b = breadth of the brick

h = height of the brick

${\rm{\orange{\underline{\underline{Calculations : }}}}}$

Area that can be painted by the container = 9.375 m²

$\rm \longrightarrow 9.375 \times (100) {}^{2} cm {}^{2}$

$\rm \longrightarrow9.375 \times 10000cm {}^{2}$

$\rm \longrightarrow93750cm {}^{2}$

Total surface area of one brick 2(lb + bh + lh)

$\rm \longrightarrow[2(22.5 \times 10 + 10 \times 7.5 + 22.5 \times 7.5)]cm {}^{2}$

$\rm \longrightarrow \: 2(225 + 75 + 168.75)cm {}^{2}$

$\rm \longrightarrow2(468.75)cm {}^{2}$

$\rm \longrightarrow937.5cm {}^{2}$

Number of bricks that can be painted out of the container :-

$\rm \: \frac{Area \: than \: can \: be \: painted \: by \: the \: container}{Surface \: area \: of \: brick}$

$\rm \longrightarrow \frac{93750}{937.5}$

$\rm \longrightarrow \frac{937500}{9375}$

$\rm \longrightarrow \frac{ \cancel{937500}}{ \cancel{9375}}$

$\rm \longrightarrow100$

Hence, 100 bricks can be painted out by the paint of the container.