Question

, find its height.
A classroom is 10 m long, 6 m broad and 4 m high. How many students can it
accommodate if one student needs 1.5 m2 of floor area? How many cubic metres of
air will each student have?
(a) The u​

Answer 1

Answer:

40 students can sit.

Each student will have 6 cubic meter of air.

Step-by-step explanation:

Area = 10m×6m = 60m²

STUDENTS= 60m²÷1.5m² =40 students

volume of air : 4m × 1.5m² = 6m³

Answer 2

Given :-

Length of the classroom = 10 m

Breadth of the classroom = 6 m

Height of the classroom = 4 m

Area occupied by each student = 1.5 m²

To Find :-

Number of students the classroom can accommodate.

Cubic meters of  air will each student will get.

Analysis :-

Area of floor total number of students × Area occupied by each student

Consider the number students as any variable and create an equation and solve it accordingly.

Find the volume of the classroom using it's respective formula and divide it by the number of students.

Solution :-

• l = Length
• b = Breadth
• h = Height
• a = Area

Let the number of students be 'x'

Area of floor total number of students × Area occupied by each student

Substituting them,

$\sf \dfrac{10 \times 6}{1.5} =x$

$\sf x=40$

Total number of students = 40

Volume of classroom = Area occupied in class room

By the formula,

$\underline{\boxed{\sf Volume \ of \ cuboid=Length \times Breadth \times Height}}$

Substituting their values,

Volume of classroom = 10 × 6 × 4

Volume = 240 m³

240 m³ = Air occupied by the classroom

Now,

Each will get = Volume of the classroom / Number of students

Substituting their values,

Each will get = 240/40 = 6 m³

Therefore, each student will have 6 m³