To find the height of a right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
We are given:
- Volume = 75 cm³
- Length = 2 cm
- Width = 10 cm
We need to find the height (h). Plugging the values into the volume formula, we have:
\[ 75 = 2 \times 10 \times h \]
Simplifying this gives:
\[ 75 = 20h \]
To solve for \( h \), divide both sides by 20:
\[ h = \frac{75}{20} \]
Calculating the division:
\[ h = 3.75 \]
Thus, the height of the right rectangular prism is:
\[ \boxed{3.75} , \text{cm} \]