Math, asked by itztara, 1 month ago

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 ceiling at the rate of Rs 7.50 per m²


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Answers

Answered by itzgeniusgirl
45

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 ceiling at the rate of Rs 7.50 per m²

Given :-

  • length of the room :- 5m
  • breath of the room :- 4m
  • height of the room :- 3m

To find :-

  • white washing the walls and the celling price of room

Formula :-

  • area of cuboid :- 2(lb + BH + lh)
  • area of base :- length × breath

Solution :-

\longrightarrow \sf  2(lb + bh + lh) - lb \\  \\  \\ \longrightarrow \sf  \: 2(lb) + 2(bh) + 2(lh) - lb \\  \\  \\ \longrightarrow \sf  \: lb + 2(bh) + 2(lh) \\  \\  \\ \longrightarrow \sf  \:  (5 \times 4) + (2 \times 4 \times 3)(2 \times 5 \times 3) {m}^{2}  \\  \\  \\  \longrightarrow \sf  \: (20 + 24 + 30) {m}^{2}  \\  \\  \\

\longrightarrow \sf  \: 74 {m}^{2}  \\  \\

cost of white washing perm² area :- rs. 7.50

cost of white washing 74m² area :-

\longrightarrow \sf  \: rs(74 \times 7.50) \\  \\  \\ \longrightarrow \sf rs = 555 \\  \\  \\

∴ cost of white washing wall and celling price of room is rs.555

Answered by LOLEMOTE
0

Answer:

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 ceiling at the rate of Rs 7.50 per m²

Given :-

length of the room :- 5m

breath of the room :- 4m

height of the room :- 3m

To find :-

white washing the walls and the celling price of room

Formula :-

area of cuboid :- 2(lb + BH + lh)

area of base :- length × breath

Solution :-

\longrightarrow \sf  2(lb + bh + lh) - lb \\  \\  \\ \longrightarrow \sf  \: 2(lb) + 2(bh) + 2(lh) - lb \\  \\  \\ \longrightarrow \sf  \: lb + 2(bh) + 2(lh) \\  \\  \\ \longrightarrow \sf  \:  (5 \times 4) + (2 \times 4 \times 3)(2 \times 5 \times 3) {m}^{2}  \\  \\  \\  \longrightarrow \sf  \: (20 + 24 + 30) {m}^{2}  \\  \\  \\

\longrightarrow \sf  \: 74 {m}^{2}  \\  \\

cost of white washing perm² area :- rs. 7.50

cost of white washing 74m² area :-

\longrightarrow \sf  \: rs(74 \times 7.50) \\  \\  \\ \longrightarrow \sf rs = 555 \\  \\  \\

∴ cost of white washing wall and celling price of room is rs.555

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