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RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15A in Chapter 15 - Volume And Surface Area Of Solids

Question 18 Volume And Surface Area Of Solids Exercise 15A

A classroom is 10m long, 6.4m wide and 5m high. If each student be given 1.6m2 of the floor area, how many students can be accommodated in the room? How many cubic metres of air would each student get?

Answer:

ANSWER:

The dimensions of classroom are

Length = 10m

Breadth = 6.4m

Height = 5m

It is given that the floor area for each student = 1.6m2

So the number of students = area of room/floor area for each student

By substituting the values

Number of students = (10 × 6.4)/1.6

So we get

Number of students = 40

So the air required by each student = Volume of room/ number of students

We know that Volume of room = l × b × h

By substituting the values

Volume of room = 10 × 6.4 × 5 = 320 m3

So we get

Air required by each student = 320/40 = 8m3

Therefore, the number of students that can be accommodated in the room is 40 and the air required by each student is 8m3.

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