Question

50 students sit in a class room. Each student requires 9 sq.metre on the floor and 108 cubic metre in space. If length of the room is 25 m , find its length and height

Answer 1

$\bold{\underline{\underline{\huge{\sf{ANSWER:}}}}}$

Given:

50 students sit in a class room.Each student requires 9m² on the floor and 108m³ in space. If the length of the room is 25m.

To find:

Its breadth and height of the classroom.

Explanation:

We have,

• The length of the room= 25m

• Each student requires 9m² on the floor.

$\bold{\underline{\underline{\huge{CASE:1}}}}}$

Total area required of the floor by 50 students= [50×9]m²

∴Total area of the floor= 450m²

We know that area of floor= Length× Breadth sq. unit

→ 450m² = 25m × Breadth

→ Breadth= $\frac{\cancel{450}}{\cancel{25}}=18$

Therefore,

The breadth of room floor is 18m.

$\bold{\underline{\underline{\huge{CASE\:2:}}}}}}$

• Volume required by one student= 108m³

We have,

• Length of the classroom=35m
• Breadth of the classroom=18m

∴Volume required by 50 students:

Total volume of classroom= [50×108]m³

Total volume of classroom= 5400m³

We know that formula of the volume of the cuboid:

Length×breadth×Height [cubic units]

⇒ 5400m³ = 25m × 18m × Height

⇒ 5400m³ = 450m² × Height

⇒ Height= $\frac{\cancel{5400}}{\cancel{450}} =12m$

• Breadth of the classroom= 18m
• Height of the classroom= 12m

Answer 2

Step-by-step explanation:

it might help you

.

.

.

.

.

.

.

.

✌✌✌