Math, asked by AraishThakur, 6 days ago

Find the cost of colour-washing the four walls of aroom whose length is 8m, breadth is7m and height is 6m at the rate of Rs30 per square metre.
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Answers

Answered by MяMαgıcıαη
80

Answer:

  • The cost of colour washing a room is Rs. 5400.

Explanation:

Given information,

Find the cost of colour washing the four walls of a room whose length is 8m, breadth is 7m and height is 6m at the rate of Rs. 30 per m².

  • Length of room (l) = 8m
  • Breadth of room (b) = 7m
  • Height of room (h) = 6m

We clearly know that area of four walls also called curved surface area.

Using formula,

✪ CSA of cuboid = 2(l + b)h ✪

Where,

  • CSA of cuboid = CSA of room
  • l denotes length of room
  • b denotes breadth of room
  • h denotes height of room

We have,

  • Length of room (l) = 8m
  • Breadth of room (b) = 7m
  • Height of room (h) = 6m
  • CSA of room = ?

Putting all values,

➻ CSA of room = 2(8 + 7)6

➻ CSA of room = 2(15)6

➻ CSA of room = 2 × 15 × 6

➻ CSA of room = 30 × 6

CSA of room = 180m²

  • Hence, area of four walls of a room is 180m².

We know that,

✪ Cost = Area × Rate ✪

Where,

  • Cost denotes cost of colour washing
  • Area denotes area of room
  • Rate denotes rate of colour washing

We have,

  • Area of room = 180m²
  • Rate of colour washing = Rs. 30 per m²
  • Cost of colour washing = ?

Putting all values,

➻ Cost of colour washing = 180 × 30

Cost of colour washing = Rs. 5400

  • Hence, cost of colour washing the four walls of a room is Rs. 5400.

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Answered by Anonymous
25

\bf\huge\blue{ANSWER}

 \bf{Here  \: we \:  know \:  that }

 \small \text \green{length is 8m}

 \small \text \pink{breadth is 7m}

 \small \text \blue{height is 6m}

\bf\huge\pink{Now}

\bf\gray{Area \:  of  \: four \:  wall  \: of  \: room}

 \bf{ = 2(l + b) h}

  \bf \orange{= 2 \times (8 + 7) \times 6}

 \bf \green{ = 12 \times( 15) = 180 \:  {m}^{2} }

\bf\huge\purple{Given}

 \small \text \red{Cost of colour-washing \:1 \: sq. m}

\large\boxed{ = 30 \:  Rs }

\bf\huge\green{Therefore}

 \small \text \purple{Cost of colour-washing  four walls of a room}

 =  \bf{30 \times 180 = 5400 \: Rs}

\large\boxed{ = 5400 \:  Rs }

 \small\text{is the answer}

\bf\huge\blue{Thanks}

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