The breadth of a room is twice its height and half its length and its volume is 1000 m. Its
dimensions are:
(a) 20 mx 10 mx 5m
(b) 10m x 10 m x 10 m
(c) 40 mx 5 m x 5m
( none of these)
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Question:-
- The breadth of a room is twice its height and half its length and its volume is 1000 m³. Find it's dimensions.
Answer:-
- Option(a): 20m × 10m × 5m
SOLUTION:-
Let the height be x.
Given in the Question,
- Breadth is twice the height but half of the length.
- That means length is twice the breadth
- Volume=1000m³
So breadth will be 2x as height is x (refer to the first line of the solution.) Therefore, Length will be 2*2x that is 4x
So we found height =5m
Given in the question,
breadth = twice of height
=2×5m
=10m
length=twice of breadth.
(as mentioned breadth is half of the length)
length=2×10m
=20m
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FINAL ANSWER:-
length=20m
breadth=10m
height = 5m
Therefore correct answer is OPTION (A)
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