Question

A hall is 14 m long and 11 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:

Answer 1

area of floor = 14×11= 154 m^2
area of ceiling = 14×11=154 m^2
sum of areas of floor and ceiling = 154+154= 308m^2
area of four walls = 2(14+11)h [where h = height of wall] =2×25×h = 50h
according to the problem,
50h=308
=> h= 6.16 m
hence,
volume = 14×11×6.16= 948.64 m^3
So the volume of the hall is 948.64 m^3.

Answer 2

Given length=14m
      "   breadth=11m
And it is said the sum of the areas of the floor and the ceiling are equal

Acc,
⇒2(14+11)h=2(14*11)
⇒50h=308
⇒h=308/50
⇒h=6.16 m
∴volume=(14*11*6.16)m³
              =948.64m³