The volume \( V \) of a right rectangular prism can be calculated using the formula:
\[ V = \text{Length} \times \text{Width} \times \text{Height} \]
Given the dimensions:
- Length = 0.7
- Width = 1.5
- Height = 4
Substituting the values into the formula:
\[ V = 0.7 \times 1.5 \times 4 \]
First, calculate \( 0.7 \times 1.5 \):
\[ 0.7 \times 1.5 = 1.05 \]
Next, multiply \( 1.05 \) by \( 4 \):
\[ 1.05 \times 4 = 4.2 \]
Therefore, the volume of the right rectangular prism is
\[ \boxed{4.2} \]