Question

the point in a certain container is sufficient to paint an area equal to 9.375m square. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container ​

Answer 1

$\huge{\underline{\boxed{\rm{\green{Answer\::100\:bricks}}}}}$

$\bold{Given:} \begin{cases} \sf{Area \:covered \:by\: a \:paint\: = \:9.375 m^2} \\ \\ \sf{Length \:of\: brick \:(l) \:=\: 22.5 cm} \\ \sf{Breadth\: of \:brick\: (b) \:= \:10 cm} \\ \sf{Height \: of \:brick \:(h)\: =\: 7.5 cm} \end{cases}$

Find:

• Number of bricks painted.

Solution:

Area covered by a paint = 9.375 m²

Total surface area of Bricks = Total surface area of cuboid

Total surface area of cuboid = 2(lb + bh + hl)

=> $\sf{2[22.5(10)\:+\:10(7.5)\:+\:7.5(22.5)]}$

=> $\sf{2(225\:+\:75\:+\:168.75)}$

=> $\sf{2(468.75)}$

=> $\sf{937.5}$ cm²

To convert cm into m. Divide with 100.

And to convert cm² into m². Divide with 10000.

=> $\sf{\dfrac{937.5}{10000}}$

=> $\sf{0.09375}$ m²

Now,

Number of bricks painted = Area covered by paint/Area of a brick

Substitute the known values above

=> $\sf{\dfrac{9.375}{0.09375}}$

=> $\sf{\dfrac{937500000}{9375000}}$

=> $\sf{100}$

•°• 100 bricks painted by a box of paint

Answer 2

$\bold{Given}\begin{cases}\sf{Area=9.375m^{2}}\\\sf{length\:of\:brick=22.5cm}\\\sf{Breadth\:=10cm}\\ \sf{Height\:7.5cm}\end{cases}$

Question :----- we have to find number of bricks required ?

My solution :-----

we know that , Area of Cuboid with length as l, breadth as b , and Height as h , is given by :------- 2(lb + bh + hl)

$\text</strong><strong>s</strong><strong>f</strong><strong>{</strong><strong>So</strong><strong>\</strong><strong>:</strong><strong>Area</strong><strong>\</strong><strong>:</strong><strong>of</strong><strong>\</strong><strong>:</strong><strong>One</strong><strong>\</strong><strong>:</strong><strong>brick</strong><strong>\</strong><strong>:</strong><strong>To\</strong><strong>:</strong><strong>be\</strong><strong>:</strong><strong>painted</strong><strong>\</strong><strong>:</strong><strong>is\</strong><strong>:</strong><strong>:</strong><strong>-</strong><strong>-</strong><strong>}$

→ 2(22.5 ×10 + 10 ×7.5 + 7.5 × 22.5)

→ 2(225+75+168.75)

→ Area(A)=937.5cm²

Now , Area can be painted = 9.375m²

we know that now ,,,,,

1m²=10000cm²

9.375m² = 93750cm²

so, Number of Bricks can be Painted = Total Area ÷ Area of One brick

No. of Bricks = (93750/9.375)= 100 bricks

so, 100 bricks can be painted out of this container .....

(Hope it helps you)