the dimensions of a room are 8m, 6m and 5 metre. find the cost of distempering it’s for walls at the rate of ₹80 per square metre.

2 thoughts on “the dimensions of a room are 8m, 6m and 5 metre. find the cost of distempering it’s for walls at the rate of ₹80 per square metre.”

1. Given :

   • Dimensions of a room are 8 m, 6 m and 5 m.

   To Find :

   • Cost of distempering it’s four walls at the rate of Rs. 80 per metre square.

   Calculations :

   Given that,

   • Dimensions of a room are 8 m, 6 m and 5 m.

   Supposition:

   Let us suppose the dimensions of a room as,

   • Length of the room = 8 m
   • Breadth of the room = 6 m
   • Height of the room = 5 m

   So, firstly let’s calculate the area of four walls in order to calculate the amount [cost] of distempering it’s four walls.

   ~ Calculating the area of four walls,

   For this, we need to use this formula :-

   • 2 × (l + b) × h

   Where,

   • l = length = 8 m
   • b = breadth = 6 m
   • h = height = 5 m

   Now, putting the values,

   ⇒ 2 × (l + b) × h

   ⇒ 2 × (8 + 6 m) × 5 m

   ⇒ 2 × 14 m × 5 m

   ⇒ 2 × (14 m × 5 m)

   ⇒ 2 × 70 m²

   ⇒ 140 m²

   Hence,

   • The area of four walls is 140 m².

   According to the Question,

   Now let us calculate the cost of distempering it’s four walls at the rate of Rs. 80 per metre square.

   For finding the amount of distempering the four walls, we need to perform multiplication in :-

   • Rate of rupees (Rs. 80) × Area of four walls (140 m²)

   ⇒ Rs. 80 × 140 m²

   ⇒ Rs. 11200

   Henceforth,

   • Cost of distempering it’s four walls at the rate of Rs. 80 per metre square is Rs. 11200.

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2. Given :

   • Length of the room = 8 m
   • Breadth of the room = 6 m
   • Height of the room = 5 m
   • Rate of ditempering the wall = ₹ 80

   To find :

   • Cost of distempering it’s four walls at the rate of ₹ 80

   Concept Used :

   → Formula to calculate area of four walls :-

   • Area of four walls = 2(l + b) × h

   where,

   • l = length
   • b = breadth
   • h = height

   To find the cost of distempering it’s four walls :-

   • Firstly, find the area of the four walls.
   • Then multiply the area of four walls by the rate of distempering the resultant value will be the required answer.

   Let’s do it. →

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   Solution :

   Area of four walls :-

   ⠀⠀⠀⇒ Area = 2(l + b) × h

   ⠀⠀⠀⇒ Area = 2(8 + 6) × 5

   ⠀⠀⠀⇒ Area = 2(14) × 5

   ⠀⠀⠀⇒ Area = 28 × 5

   ⠀⠀⠀⇒ Area = 140

   Area of four walls = 140 m²

   Cost of distempering the four walls = Area of four walls × Rate

   ⠀⠀⠀⇒ Cost = 140 × 80

   ⠀⠀⠀⇒ Cost = 11,200

   Cost of distempering it’s four walls at the rate of ₹ 80 = Rs. 11,200

   ⠀⠀⠀━━━━━━━━━━━━━━━

   Know MorE :

   Some related formulae :-

   • Area of rectangle = l × b
   • Area of square = side × side
   • Total surface area of cube = 6 × side²
   • Total surface Area of cuboid = 2(lb + bh + hl)
   • Perimeter of square = 4 × side
   • Perimeter of reactangle = 2(l + b)
   • Perimeter of cuboid = 4 (length + breadth + height)
   • Perimeter of cube = 12 × side
   • Diagonal of square = √2a
   • Diagonal of rectangle = √l² + √b²
   • Volume of cuboid = length × breadth × height
   • Volume of cube = side³

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