A) 25 m, 12 m
B) 30 m, 10 m
C) 12 m, 10 m
D) 25 m, 15 m
Correct Answer: A
Solution :
Floor area for each student \[=9\,\,{{m}^{2}}\] \[\therefore \]Floor area for 50 students \[=9\times 50=450\,\,{{m}^{2}}\] Let length of room be I m, then \[I\times 18=450\,\,{{m}^{2}}\Rightarrow I=\frac{450}{18}=25\,\,m\] Space required for each student \[=108\,\,{{m}^{3}}\] Space required for 50 students \[=50\times 108=5400\,\,{{m}^{3}}\] \[\Rightarrow \] \[l\times b\times h=5400\] \[\Rightarrow \] \[25\times 18\times h=5400\] \[h=\frac{5400}{25\times 18}=12\,\,m\] \[\therefore \]Length \[=26\,\,m\] and height \[=12\,\,m\]
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