Question

the length of hall is 24m and width is 16m the sum of areas of the floor flat and the roof it equal to the are of four wall.find the height and the volume of the hall

Answer 1

Length = 24 m
Width = 16 m
Height = h

Given that,
The sum of area of roof and floor = Sum of area of four walls

2lb = 2(bh + hl)
lb = bh + hl
16 × 24 = 16h + 24h
384 = 40h
h = 9.6 m


Volume = l × b × h = 24 × 16 × 9.6 = 3686.4 m³

Answer 2

Step-by-step explanation:

let the height be 'h'

length = 24m, width= 16m

area of floor +area of roof = area of four walls

so,

lb+lb= 2(l+b)h

2lb= 2(l+b)h

24×16= (24+16)h

24×16= 40h

24×16/40=h

= 9.6m=h

volume of air in the hall= 24×16×9.6m^3

= 3686.4m^3

answer..........

:)