Math, asked by efatimapgc, 3 months ago

find the cost of papering the four walls of a room 16 Meters long 12 meters wide and 8 meters high with paper 2 meters wide at Rs 50 per meter​

Answers

Answered by EnchantedGirl
6

Given:-

  • Length of room= 16m
  • Width of room = 12m
  • Height of room = 8m
  • Width of paper = 2m

To find:-

  • The cost of papering the four walls at Rs.50 per metre.

Solution:-

We know that room is a cuboid.Hence,we apply the lateral surface area formula of cuboid.

LSA of cuboid = 2h(l+b)

Where,

l = length

b = breadth

h = height

Putting the values,

⇒Area of four walls = 2h(l+b)

⇒ 2(8)(16+12)

⇒ 16 × 28

⇒ 448m²

Now,

We have:

  • Breadth of paper = 2m
  • Area = 448m²

Using the formula,

Area = length × breadth

Putting the values,

⇒Area = lb

⇒448 = l(2)

⇒l = 448/2

⇒Length = 224m

Given,

  • Rate = Rs.50
  • Cost = ?

Cost = 50 × 224

        = Rs.11200

Hence,

The cost of papering is Rs.11,200

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