volume and area!!!!!!!!!!!!!!!!!!!!!!!!

Question

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:

Answer 1

The  length  of  the  hall is l = 15m and breadth  b = 12m

Area  of the floor  is  l x b = 15 x 12

Area of the ceiling is  l x b = 15 x 12

The area of  four walls of a rectanglar room is  2h( l+b) = 2h( 15+12)

Sum  of the areas of the floor and ceiling  = sum of the areas of  four  walls

2( 15 x 12) = 2h( 15+12)

h = 180/27⇒ h = 20/3m

The volume of the wall is l x b x h

= 15 x 12 x 20/3

= 1200 m^3

The volume of the wall is 1200m^3.