The room is 13'6" by 18'6" with 12 inch by 24 inch ceiling tiles.  Whats the short wall tile?

To determine the number of ceiling tiles that will fit along the short wall of the room, we first need to convert the dimensions of the room and the tiles into the same units and then divide the length of the short wall by the length of the ceiling tiles.

### Step 1: Convert room dimensions to inches
- **Short wall (width):** \( 13'6" \) 
  - Convert feet to inches: \( 13 \times 12 = 156 \) inches
  - Add the remaining 6 inches: \( 156 + 6 = 162 \) inches
- **Long wall (length):** \( 18'6" \)
  - Convert feet to inches: \( 18 \times 12 = 216 \) inches
  - Add the remaining 6 inches: \( 216 + 6 = 222 \) inches

### Step 2: Tile dimensions in inches
- The ceiling tiles are \( 12 \times 24 \) inches.

### Step 3: Calculate the number of tiles along the short wall
- To find out how many tiles fit along the short wall, divide the width of the room by the width of the tile:

\[
\text{Number of tiles along the short wall} = \frac{162 \text{ inches}}{24 \text{ inches}} = 6.75
\]

### Conclusion:
You will need **7 tiles** along the short wall. Since 6.75 is not a whole number, the last tile will need to be cut to fit.

Would you like more details or have any questions? 

Here are some related questions:
1. How many tiles are needed for the entire ceiling?
2. What are the calculations for the long wall?
3. How much waste material should be expected from cutting tiles?
4. What would be the total cost if each tile costs a certain amount?
5. How does the orientation of the tiles affect the overall layout?

**Tip:** Always account for a small percentage of extra materials when planning a tiling project to accommodate mistakes or breakage.

Learn how to calculate the number of ceiling tiles needed for the short wall of a room measuring 13'6" by 18'6" with 12 inch by 24 inch ceiling tiles. Detailed step-by-step solution including conversion of dimensions, tile dimensions in inches, and division to find the number of tiles required. Suitable for students in Grades 6-8.

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