Answer

Verified

451.8k+ views

Hint : We need to find the area that can be painted by the container by using total surface area and then the number of bricks can be painted out of the container. Container is in the form of a cuboid. So the total surface area of the container will be the same as the cuboid.

Given,

Dimensions of the brick 22.5 cm x10 cm x7.5 cm i.e.., l=22.5 cm, b=10cm, h=7.5 cm. Total surface area of the container is given as 9.375 ${m^2}$.As we know that the total surface area formula i.e.., 2(lb+bh+hl). Now let us find the total surface area of the brick by substituting the values of l, b, and h, we get

$

\Rightarrow T.S.A = 2(lb + bh + hl) \\

\Rightarrow T.S.A = 2((22.5*10) + (10*7.5) + (7.5*22.5)) \\

\Rightarrow T.S.A = 2(225 + 75 + 168.75) \\

\Rightarrow T.S.A = 2(468.75) \\

\Rightarrow T.S.A = 937.5{\text{c}}{{\text{m}}^{\text{2}}} \\

$

Let us convert the total surface area in the terms of ${m^2}$ as the area total area painted by the container is given in ${m^2}$i.e..,

\[ \Rightarrow T.S.A = 937.5{\text{c}}{{\text{m}}^{\text{2}}} = \dfrac{{937.5}}{{10000}}{\text{ }}{{\text{m}}^2} = 0.09375{\text{ }}{{\text{m}}^2}\]

Now, let us consider ‘x’ as the number of bricks. Therefore, by dividing ‘total area painted by the container’ with ‘total surface area of brick’ the number of bricks (x) can be computed i.e..,

$

\Rightarrow {\text{x = }}\dfrac{{{\text{total area painted by the container}}}}{{{\text{total surface area of the bricks}}}} \\

\Rightarrow {\text{x}} = \dfrac{{9.375}}{{0.09375}}{\text{ }}{{\text{m}}^2} \\

\Rightarrow {\text{x}} = 100{\text{ }}{{\text{m}}^2} \\

$

Therefore, 100 bricks can be painted out with the given amount of paint.

Note: Make a note that since the brick is considered as the cuboid the total surface area of the brick is calculated using the formulae of the total surface area of the cuboid.

Given,

Dimensions of the brick 22.5 cm x10 cm x7.5 cm i.e.., l=22.5 cm, b=10cm, h=7.5 cm. Total surface area of the container is given as 9.375 ${m^2}$.As we know that the total surface area formula i.e.., 2(lb+bh+hl). Now let us find the total surface area of the brick by substituting the values of l, b, and h, we get

$

\Rightarrow T.S.A = 2(lb + bh + hl) \\

\Rightarrow T.S.A = 2((22.5*10) + (10*7.5) + (7.5*22.5)) \\

\Rightarrow T.S.A = 2(225 + 75 + 168.75) \\

\Rightarrow T.S.A = 2(468.75) \\

\Rightarrow T.S.A = 937.5{\text{c}}{{\text{m}}^{\text{2}}} \\

$

Let us convert the total surface area in the terms of ${m^2}$ as the area total area painted by the container is given in ${m^2}$i.e..,

\[ \Rightarrow T.S.A = 937.5{\text{c}}{{\text{m}}^{\text{2}}} = \dfrac{{937.5}}{{10000}}{\text{ }}{{\text{m}}^2} = 0.09375{\text{ }}{{\text{m}}^2}\]

Now, let us consider ‘x’ as the number of bricks. Therefore, by dividing ‘total area painted by the container’ with ‘total surface area of brick’ the number of bricks (x) can be computed i.e..,

$

\Rightarrow {\text{x = }}\dfrac{{{\text{total area painted by the container}}}}{{{\text{total surface area of the bricks}}}} \\

\Rightarrow {\text{x}} = \dfrac{{9.375}}{{0.09375}}{\text{ }}{{\text{m}}^2} \\

\Rightarrow {\text{x}} = 100{\text{ }}{{\text{m}}^2} \\

$

Therefore, 100 bricks can be painted out with the given amount of paint.

Note: Make a note that since the brick is considered as the cuboid the total surface area of the brick is calculated using the formulae of the total surface area of the cuboid.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Give 10 examples for herbs , shrubs , climbers , creepers

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE