Advertisements
Advertisements
प्रश्न
375 persons can be accommodated in a room whose dimensions are in the ratio of 6 : 4 : 1. Calculate the area of the four walls of the room if the each person consumes 64m3 of air.
Advertisements
उत्तर
Given that:
No of persons accommodated in a room = 375
Ratio of dimensions of room = 6 : 4 : 1
∴ Length (l) of the room = 6x m
Breadth (b) of the room = 4x m
Height (h) of the room = x m
Air consumed by 1 person = 64m3
∴ Air consumed by 375 persons = 64 x 375
= 24,000m3
i.e., Volume of air in the room = 24,000m3 ..............................(1)
Also,
Volume (V) of the room is given by:-
V = l x b x h
Substituting (1) we get,
l x b x h = 24000
6x x 4x x x = 24,000
24 x 3 = 24,000
x3 = `(24000)/(24)`
x = `root(3)(1000)`
x = 10m
∴ Length (l) of the room = 6 x 10 = 60m
Breadth (b) of the room = 4 x 10 = 40m
Height (h) of the room = 1 x 10 = 10m
Now,
L.S.A of the room
= 2 x h x (l + b)
= 2 x 10 x (60 + 40)
= 20 x 100
= 2000m2
i.e., Area of the 4 walls of the room = 2000m2.
APPEARS IN
संबंधित प्रश्न
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost
of white washing the walls of the room and the ceiling at the rate of Rs. 7.50 m2.
The length and breadth of a hall are in the ratio 4: 3 and its height is 5.5 metres. The cost of decorating its walls (including doors and windows) at Rs. 6.60 per square metre is Rs. 5082. Find the length and breadth of the room.
A village, having a population of 4000, requires 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?
If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that \[\frac{1}{V} = \frac{2}{S}\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)\]
The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs 3.50 per square metre.
The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?
Find the edge of a cube whose surface area is 432 m2.
The volume of a cuboid is 7.68 m3. If its length = 3.2 m and height = 1.0 m; find its breadth.
A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick; find :
(i) the capacity of the box ;
(ii) the volume of metal-sheet and
(iii) weight of the box, if 1 cm3 of metal weighs 3.6 gm.
The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by its 50 revolutions?
