To find the height of a right rectangular prism, you can use the formula for the volume of the prism, which is:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given:
- Length (\(L\)) = 2 cm
- Width (\(W\)) = 10 cm
- Volume (\(V\)) = 75 cm³
You can rearrange the formula to solve for height (\(H\)):
\[ H = \frac{V}{L \times W} \]
Substituting the known values:
\[ H = \frac{75}{2 \times 10} \]
Calculating the denominator:
\[ 2 \times 10 = 20 \]
Now, substitute that back into the equation for height:
\[ H = \frac{75}{20} = 3.75 \]
Thus, the height of the right rectangular prism is:
\[ \boxed{3.75} \text{ cm} \]
This is already in decimal form and rounded to the nearest hundredth.