Question

The length, breadth and height of a room are 5 m, 4 m and 3 m, respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of ₹17.50 per m2.
no spam

Answer 1

Answer:

length =5m

breath =4m

height =3m

Area of room = 2lb + 2bh + lb

2multi 5 multi3 + 2*4*3+5*4

=30+24+20

=74m

Cost of ceiling is 17.50 per m2

Total cost = 17.50 multiply 74

=Rs 1225

Answer 2

Answer:

Given :-

• The length, breadth and height of a room are 5 m, 4 m and 3 m respectively.

To Find :-

• What is the cost of white washing the walls of the room and the ceiling at the rate of ₹ 17.50 per m².

Solution :-

First, we have to find the TSA of room :

Given :

• Length = 5 m
• Breadth = 4m
• Height = 3m

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{T.S.A._{(Cuboid)} =\: 2(lb + bh + hl)}}$

So, the TSA of room will be :

$\implies \sf TSA_{(Room)} =\: 2\{(5 \times 4) + (4 \times 3) + (3 \times 5)\}$

$\implies \sf TSA_{(Room)} =\: 2(20 + 12 + 15)$

$\implies \sf TSA_{(Room)} =\: 2(47)$

$\implies \sf\bold{\underline{TSA_{(Room)} =\: 94\: m^2}}$

Hence, the TSA of room is 94 m² .

Now, we have to find the area of base :

Given :

• Length = 5 m
• Breadth = 4 m

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Area_{(Rectangle)} =\: Length \times Breadth}}$

So, the area of a base will be :

$\implies \sf Area_{(Base)} =\: 5\: m \times 4\: m$

$\implies \sf\bold{\underline{Area_{(Base)} =\: 20\: m^2}}$

Hence, the area of base is 20 m² .

Now, we have to find the area to be white washed :

Given :

• TSA of room = 94 m²
• Area of Base = 20 m²

According to the question by using the formula we get,

$\footnotesize \implies \sf\boxed{\bold{Area\: to\: be\: white\: washed =\: TSA_{(Room)} - Area_{(Base)}}}$

$\implies \sf Area\: to\: be\: white\: washed =\: 94 - 20$

$\implies \sf\bold{\underline{Area\: to\: be\: white\: washed =\: 74\: m^2}}$

Hence, the area to be white washed is 74 m² .

Now, we have to find the total cost of white washing of the room :

$\leadsto$ Cost of white washing per m² = ₹ 17.50

So,

$\leadsto$ Cost of white washing 74 m² will be :

$\dashrightarrow \sf 74 \times 17.50$

$\dashrightarrow \sf\boxed{\bold{\underline{₹\: 1295}}}$

$\therefore$ The cost of white washing of the room is ₹ 1295 .