Find the maximum length of a rod, that can be placed in a room of dimension 12m×12m×14m.
- A22 m
- B24 m
- C23 m
- D21 m
Solution & Step-by-step Explanation
The maximum length of a rod that can be placed in a room of dimensions l×b×h is equal to the length of its diagonal.
Maximum Length=
l
2
+b
2
+h
2
Given:
l=12m, b=12m, h=14m
Substituting the values:
Maximum Length=
12
2
+12
2
+14
2
Maximum Length=
144+144+196
Maximum Length=
484
=22m
Maximum Length=
l
2
+b
2
+h
2
Given:
l=12m, b=12m, h=14m
Substituting the values:
Maximum Length=
12
2
+12
2
+14
2
Maximum Length=
144+144+196
Maximum Length=
484
=22m