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The Length of a Hall is 18 M and the Width 12 M. the Sum of the Areas of the Floor and the Flat Roof is Equal to the Sum of the Areas of the Four Walls. Find the Height of the Hall. - Mathematics

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Question

The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the
flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.

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Solution

Length of the hall = 18m

Width of hall = 12m 

Now given,

Area of the floor and the flat roof = sum of the areas of four walls.

`⇒2lb=2lh+2bh`

`⇒lb= lh+bh`
`⇒h=(lb)/(l+b)=(18xx12)/(18+12)=(216)/30`

`=7.2m`

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Chapter 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.1 [Page 14]

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RD Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.1 | Q 8 | Page 14

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