A beam, of wood is 5 m long and 36 cm thick. It is made of `1.35m^(3)` of wood. What is the width of the beam?

Answer

To find the width of the beam, we will use the formula for the volume of a rectangular prism, which is given by:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Thickness} \]

### Step-by-Step Solution:

1. **Identify the given values:**
- Length of the beam, \( L = 5 \, \text{m} \)
- Thickness of the beam, \( T = 36 \, \text{cm} \)
- Volume of the beam, \( V = 1.35 \, \text{m}^3 \)

2. **Convert the thickness from centimeters to meters:**
\[ T = 36 \, \text{cm} = \frac{36}{100} \, \text{m} = 0.36 \, \text{m} \]

3. **Substitute the known values into the volume formula:**
\[ V = L \times W \times T \]
\[ 1.35 = 5 \times W \times 0.36 \]

4. **Rearrange the equation to solve for width \( W \):**
\[ W = \frac{V}{L \times T} \]
\[ W = \frac{1.35}{5 \times 0.36} \]

5. **Calculate the denominator:**
\[ 5 \times 0.36 = 1.8 \]

6. **Now substitute back to find \( W \):**
\[ W = \frac{1.35}{1.8} \]

7. **Perform the division:**
\[ W = 0.75 \, \text{m} \]

8. **Convert the width from meters to centimeters:**
\[ W = 0.75 \, \text{m} = 0.75 \times 100 \, \text{cm} = 75 \, \text{cm} \]

### Final Answer:
The width of the beam is **75 cm**.