Is 1 weber per square meter (Wb/m²) equal to 1 tesla (T)?

What this question is checking

You are comparing two different-looking units for the same physical quantity, magnetic flux density $B$.

Using the SI definitions

• Magnetic flux $\Phi$ is measured in webers (Wb).
• Magnetic flux density $B$ is flux per unit area:

$$B = \frac{\Phi}{A}$$

So the unit of $B$ is:

$$[B] = \frac{\text{Wb}}{\text{m}^2}$$

Converting to tesla

The SI unit name for $\text{Wb}/\text{m}^2$ is the tesla (T). Therefore,

$$1\,\text{T} = 1\,\frac{\text{Wb}}{\text{m}^2}$$

Quick consistency check with base units (optional)

Since $1\,\text{Wb} = 1\,\text{V}\cdot\text{s}$ and $1\,\text{T} = 1\,\text{N}/(\text{A}\cdot\text{m})$, these are consistent within SI, but the key identity you need is the definition $\text{T} = \text{Wb}/\text{m}^2$.