To find the height of a right rectangular prism, we can use the formula for the volume of a prism, which is given by:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
We are given the following values:
- Length (\( l \)) = 2 cm
- Width (\( w \)) = 10 cm
- Volume (\( V \)) = 75 cm³
We need to find the height (\( h \)). Rearranging the volume formula to solve for height, we have:
\[ h = \frac{V}{l \times w} \]
Substituting in the known values:
\[ h = \frac{75}{2 \times 10} \]
Calculating the denominator:
\[ 2 \times 10 = 20 \]
Now we can find \( h \):
\[ h = \frac{75}{20} = 3.75 \]
Thus, the height of the right rectangular prism is:
\[ \boxed{3.75} \text{ cm} \]