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The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m^2 is Rs.15000, find the height of the hall. - CBSE Class 9 - Mathematics

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Question

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.

[Hint: Area of the four walls = Lateral surface area.]

Solution

Let length, breadth, and height of the rectangular hall be l m, b m, and h m respectively.

Area of four walls = 2lh + 2bh

= 2(l + bh

Perimeter of the floor of hall = 2(l + b)

= 250 m

∴ Area of four walls = 2(l + bh = 250h m2

Cost of painting per m2 area = Rs 10

Cost of painting 250h m2 area = Rs (250h × 10) = Rs 2500h

However, it is given that the cost of paining the walls is Rs 15000.

∴ 15000 = 2500h

h = 6

Therefore, the height of the hall is 6 m.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Class 9 (2018 to Current)
Chapter 13: Surface Area and Volumes
Ex. 13.10 | Q: 3 | Page no. 213

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Solution The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m^2 is Rs.15000, find the height of the hall. Concept: Surface Area of a Cuboid and a Cube.
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