Question

An auditorium is of length 20 m, breadth 14 m and height 6 m. If a person requires 7 mº of air,
find the number of persons that can be accommodated in the room.​

Answer 1

$\sf{\huge{\underline{\pink{Given :-}}}}$

• An auditorium is of length 20 m, breadth 14 m and height 6 m.

• A person requires 7 m³ of air.

$\sf{\huge{\underline{\purple{To\:Find :-}}}}$

• The number of persons that can be accommodated in the room.

$\sf{\huge{\underline{\green{Solution :-}}}}$

• Length = 20 m

• Breadth = 14 m

• Height = 6 m.

The Volume of the hall = The Volume of the cuboid.

➝ We know, The Volume of the cuboid = l × b ×h

∴ Volume of the hall = length × breadth × height

➝ 20 × 14 × 6

➝ 280 × 6

➝ 1680 m³

A area occupied by 1 person = 7m³

The number of persons that can be accommodated in the room.

➝ 1680/ 7

➝ 240 person

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