A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Answers
Answered by
15
Area of floor= L x B= 15 x 12 m sq.
= 180 m sq.
Area of floor= Area of ceiling= 180 m sq.
Area of floor+ Area of ceiling= (180+180) m sq.= 360 m sq.
According to question:
Area of floor+ Area of ceiling= Area of sum of areas of all four walls
360=2h(l+b)
180/27=h
20/3=height
Volume= l x b x h
= (15 x 12) x 20/3
= 180 x 20/3= 60 x 20= 1200 m cubed.
:D
= 180 m sq.
Area of floor= Area of ceiling= 180 m sq.
Area of floor+ Area of ceiling= (180+180) m sq.= 360 m sq.
According to question:
Area of floor+ Area of ceiling= Area of sum of areas of all four walls
360=2h(l+b)
180/27=h
20/3=height
Volume= l x b x h
= (15 x 12) x 20/3
= 180 x 20/3= 60 x 20= 1200 m cubed.
:D
prakhargupta3301:
If you have a doubt please do ask. Also 2h(l+b) is derived this way:
area of four walls= (l x h) + (b x h)+ (l x h) + (b x h)= h(l+l+b+b)= h(2l+2b)= 2h(l+b)
PLEASE MARK AS BRAINLIEST PLEASE
Similar questions