Question

4. 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 x 10 cm x 7.5 cm can be painted out of this container? ​

Answer 1

Answer:

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

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

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 :-

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$\rm\orange\longrightarrow100$

Answer 2

Answer:

Answer ⤵️

Volume of paint = 9.375 m2 = 93750 cm2

Dimension of brick = 22.5 cm×10 cm×7.5 cm

Total surface area of a brick = 2(lb + bh + lh) cm2

= 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

Number of bricks can be painted = 93750/937.5 = 100

Step-by-step explanation:

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