Question

a hall is 15m long and 12m broad the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls. find the volume of the hall

Answer 1

Answer:

1200m^3is the correct answer

Answer 2

Step-by-step explanation:

Sum of the area = Sum of area of floor & ceiling

of 4 walls

area of the wall= Breadth× Lenghth

Area of wall with the adjacent of the breath of the room = 12×h(such 2 wall)

Area of wall the adjacent of the lenght of the room = 15×h(such 2 wall)

Area of the roof = 15×12

Area of the floor = 15×12

(12×h)+(12×h)+(15×h)+(15×h)= (15×12)+(15×12)

2(12×h+15×h) = 2(15×12)

2(27h) = 2(15×12)

27h = 15×12

h = 20/2 meter

Volume of the hall = length×breadth×height

= 15×12×(20/3)

= 1200meter ³