The length of a cinema hall is 20 m and breadth is 16 m. The sum of the areas of floor and flat roof is equal to the area of four walls. Find the height and volume of the hall.

Let the height of the cinema hall = h
length = 20 m and width = 16 m
Area of the floor = Area of the roof= l x b
= 20 x 16= 320 m2
Total area of the floor and the roof of the hall = 2 x 320 = 640 m2
Area of the four walls = 2( l + b) x h = 2(20 + 16) x h
= 72 h m2
Area of the four walls = Total area of the floor and the roof.
Þ     72 h = 640
Þ h = 8.9 m.
∴volume =h = 20 x 16 x 8.9 = 2848 m3

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and Volume of Right Circular Cylinders42 mins
Surface Area and Volume of Spheres40 mins
Surface Area and Volume of Right Circular Cone37 mins
Quiz | Surface Area & Volumes49 mins
RD Sharma | Surface areas and volumes of Cube & Cuboid33 mins
Surface Area of Right Circular Cylinder52 mins
Surface Area of Right Circular Cylinder49 mins
Surface Area of Cube and Cuboid49 mins
Matter and Its Classification34 mins
Speed and Velocity59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses