4. A class room is 12.5 m long, 64 m broad and 5 m high. How many students can it accommodate,
if each student needs 1.6 m of floor area ? How many cubic metres of air would each student
get?
Answers
If each student needs 1.6 m of floor area inside a classroom of 12.5 m * 64 m * 5 m, then no. of students it can accommodate is 500 and each student would get 8 m³ of air.
Step-by-step explanation:
Length of the classroom, l = 12.5 m
Breadth of the classroom, b = 64 m
Height of the classroom, h = 5 m
Step 1:
Area of the floor of the classroom = l * b = 12.5 * 64 = 800 m²
Floor Area required by each student is given = 1.6 m²
Therefore,
No. of students the classroom can accommodate = = 500
Step 2:
Now we know that,
[The volume of the classroom] = [Volume of Air occupied by the classroom ]
⇒ l*b*h = Volume of Air occupied by the classroom
⇒ 12.5 * 64 * 5 = Volume of Air occupied by the classroom
⇒ 12.5 * 64 * 5 = Volume of Air occupied by the classroom
⇒ Volume of Air occupied by the classroom = 4000 m³
Therefore,
The cubic metres of air each student would get,
= [Volume of Air occupied by the classroom] / [No. of students the classroom can accommodate]
= [4000] / [500]
= 8 m³
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Answer:
No. os students = 50
Volume = 8 m³
Step-by-step explanation:
- Number of Students = Area of Floor ÷ Area occupied by each student
= (12.5×6.4)m²÷1.6m²
= 50 Students
- Volume of Air for each Student = Volume of Room ÷ No. of Students
=(12.5×6.4×5)÷50
=8m³