To find the width of the beam, we need to calculate the cross-sectional area of the wood beam and then divide the volume of wood by this area.

1. Calculate the cross-sectional area of the wood beam:
Given:
Length of the beam = 5 m
Width of the beam = ?
Height of the beam = 36 cm = 0.36 m

The cross-sectional area of the beam can be calculated using the formula:
Area = Length × Width

Substituting the given values:
Area = 5 m × Width

2. Convert the volume of wood to cubic meters:
Given:
Volume of wood = 1.35 m^3

3. Divide the volume of wood by the cross-sectional area to find the width:
Width = Volume of wood / Area = 1.35 m^3 / (5 m × Width)

To simplify the calculation, we can convert the volume of wood and the width to cubic centimeters (cm^3) and centimeters (cm), respectively. This can be done by multiplying by 100^3 since 1 m = 100 cm.

Converting the volume of wood to cm^3:
Volume of wood = 1.35 m^3 × (100 cm/m)^3 = 1.35 × 10^6 cm^3

Converting the width to cm:
Width = ? cm

Now, substituting the values into the equation:
Width = (1.35 × 10^6 cm^3) / (5 m × Width)

Simplifying the equation:
Width = 270,000 cm^2 / Width

To solve for the width, we can multiply both sides of the equation by Width:
Width^2 = 270,000 cm^2

Taking the square root of both sides:
Width = √(270,000 cm^2)

Width ≈ 519.62 cm

Therefore, the width of the beam is approximately 519.62 cm, which is not one of the given options (a, b, c, or d). Hence, the correct answer is "None of these."