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 |
If the entire room is to be filled by books having same dimensions as lying on the table then how many books are required.
Correct Answer :
20,736
Solution :
The correct answer is 20,736.
To determine how many books are required to fill the entire room, we need to divide the total volume of the room by the volume of a single book.
Step 1: Convert room dimensions into inches
Since 1 foot = 12 inches, we convert the dimensions of the room from feet to inches so that all units are consistent.
Step 2: Calculate the volume of the room
The volume of a rectangular room (cuboid) is given by the formula:
Volume = Length × Breadth × Height
Step 3: Calculate the volume of one book
The dimensions of a book are 12 inches by 6 inches by 3 inches.
Step 4: Find the total number of books required
Divide the volume of the room by the volume of one book:
Therefore, a total of 20,736 books are required to fill the entire room.
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