A room having the dimensions as mentioned in the chart below has a table, a bed and a chair. There are three books kept on the table (side by side) and also a lamp having radius, 3.5 inch. Now, on the basis of information given below answer the following?

Sr. No.	Object	Length	Breadth	Height
1.	Room	18 feet	12 feet	12 feet
2.	Bed	3.5 feet	6 feet	3 feet
3.	Table	3 feet	4 feet	4 feet
4.	Chair	2 feet	2.5 feet	4 feet
5.	Books	12 inch	6 inch	3 inch

What would be the area of the room which is not covered by any object as mentioned above?

The correct option is 178 sq. ft.

To find the area of the room that is not covered by any object, we need to calculate the total floor area of the room and subtract the base area of all the objects placed directly on the floor.

Step 1: Calculate the total floor area of the room.
The floor area of a rectangular room is given by the formula:
$\text{Total Floor Area}=\text{Length}\times \text{Breadth}$
From the given table, the dimensions of the room are:
Length = 18 feet
Breadth = 12 feet
$\text{Total Floor Area}=18\text{ft}\times 12\text{ft}=216\text{sq. ft.}$

Step 2: Identify objects on the floor and calculate their base areas.
Only the bed, table, and chair occupy space directly on the floor. Note that the three books and the lamp are placed on top of the table, so they do not cover any additional floor area of the room.

1. Base area of the Bed:
$\text{Area of Bed}=3.5\text{ft}\times 6\text{ft}=21\text{sq. ft.}$

2. Base area of the Table:
$\text{Area of Table}=3\text{ft}\times 4\text{ft}=12\text{sq. ft.}$

3. Base area of the Chair:
$\text{Area of Chair}=2\text{ft}\times 2.5\text{ft}=5\text{sq. ft.}$

Step 3: Calculate the total floor area covered by objects.
$\text{Total Covered Area}=\text{Area of Bed}+\text{Area of Table}+\text{Area of Chair}$
$\text{Total Covered Area}=21\text{sq. ft.}+12\text{sq. ft.}+5\text{sq. ft.}=38\text{sq. ft.}$

Step 4: Calculate the uncovered floor area of the room.
$\text{Uncovered Area}=\text{Total Floor Area}-\text{Total Covered Area}$
$\text{Uncovered Area}=216\text{sq. ft.}-38\text{sq. ft.}=178\text{sq. ft.}$

Thus, the area of the room which is not covered by any object is 178 sq. ft.