The length of a cinema hall is 20m and its width is 16m. The sum of the areas of its floor and flat roof is equal to the surface arera of its four walls.Find the volume and height of the hall
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Answered by
99
length =l= 20m
width =w=16m
height =h
sum of the areas of floor and roof = surface area of the four walls
lw+lw = 2(l+w)h
2lw= 2(l+w)h
lw=(l+w)h
20*16=(20+16)h
20*16=36*h
20*16/36=h
80/9= h
h=80/9m
volume = l*w*h
=20*16*80/9 m^3[simplify it]
width =w=16m
height =h
sum of the areas of floor and roof = surface area of the four walls
lw+lw = 2(l+w)h
2lw= 2(l+w)h
lw=(l+w)h
20*16=(20+16)h
20*16=36*h
20*16/36=h
80/9= h
h=80/9m
volume = l*w*h
=20*16*80/9 m^3[simplify it]
Answered by
20
Answer:Let the height of the walls of the room be h
Length of the room, l = 20 m
Width of the room, b = 16 m
Sum of the areas of the floor and the flat roof = lb + lb = 2lb = 2 × 20 m × 16 m = 640 m2
Sum of areas of 4 walls = 2h × (l + b) = 2h × (20 m + 16 m) = 72h m
According to the given information 72h m = 640 m2
Thus, height of the wall is approximately 8.9 m
Step-by-step explanation:
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