Question

. The length and breadth of a hall is 20 m.
and 16m. respectively. Addition of area of
the flooring and the area of ceiling is equal to the area of the four walls or the hall. Find the height & Volume of hall.​

Answer 1

Step-by-step explanation:

Given:-

The length and breadth of a hall is 20 m.

The length and breadth of a hall is 20 m.and 16m. respectively. Addition of area of

The length and breadth of a hall is 20 m.and 16m. respectively. Addition of area ofthe flooring and the area of ceiling is equal to the area of the four walls or the hall.

To find:-

Find the height & Volume of hall.

Using formula:-

Area of four walls of a room=

Lateral surface area of the cuboid=2h(l+b) sq.units

Volume of the room=lbh cubic units

here l,b,h are length,breadth and height of the cuboid respectively.

Solution:-

Length of the room=(l)=20 m

Breadth of the room=(b)=16 m

Area of the floor=l×b=20×16=320 sq.m

Area of the ceiling=l×b=20×16=320 sq.m

Area of the floor+Area of the ceiling=Area of the four walls of a room

=>2h(l+b)=320+320

=>2h(20+16)=640

=>2h(36)=640

=>h(36)=640/2

=>36h=320

=>h=320/36

=>h=80/9m

=>h=8.88m

Height=80/9 m or 8.88m

Volume of the hall=lbh cubic units

=>V=20×16×80/9

=>V=25600/9m³

=>V=2844.44m³

Answer:-

Height of the hall=8.88m

Volume of the hall=2844.44m³