Question

A room is 8.5 m long 6.5 m broad and 3.4 m high it has two doors each measuring 1.5 my by 1m and two windows each measuring 2m by 1m .find the area of the room . Find the area of four wall , celing exept the area of doors and window , also find the volume of the room.

Answer 1

Solution:

1. Room :

Length of room {l} = 8.5 m

Breadth of room {b} = 6.5 m

Height of room {h} = 3.4 m

2. Doors :

Length of door = 1.5 m

Breadth of door = 1.0 m

Area of Door = 2( l × b)

= 2( 1.5 × 1 )

= 3.0 m²

3. Windows:

Length of window = 2 m

Width of window = 1 m

Area of windows {2 Qty} = 2(l×w)

= 2 ( 2 × 1 )

= 4.0 m²

Area of Four wall = 2( l + b) × h

= 2(8.5 + 6.5) × 3.4

= 2(15)×3.4

= 102 m²

Area of ceiling = Length × breadth

= 8.5 × 6.5

= 55.25 m²

Area of four wall & ceiling except door & windows = (102 + 55.25 - 3.0 - 4.0)

= (157.25 - 7)

= 150.25 m²

Area of four wall without door & windows = (102 - 7) m² = 95 m²

Volume of room = l × b × h

= 8.5 × 6.5 × 3.4

= 187.85 m³

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