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
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L= 24cm
B = 16cm
H= ?
ATQ
2 (l + b ) h = 2 ( l×b)
2 (24+16) h= 2 ( 24×16)
( 24+16) h = 24×16
40h = 24×16
H = 24×16/ 40
= 9.6 cm
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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
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
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