Let's begin by identifying key information given to us:
The volume of rectangular prism (at least) = 24 in^3
Area of the base = 6 in^2
The volume of a rectangular prism is given by:
[tex]\begin{gathered} V\le A\cdot h \\ V=24in^3 \\ A=6in^2 \\ \text{h=?} \\ 24\le6\cdot h \\ 24\le6h\Rightarrow6h\ge24 \\ 6h\ge24 \\ h\ge\frac{24}{6}=4 \\ h\ge4 \end{gathered}[/tex]To have a rectangular prism of at least 24 in^3, the height must be greater than or equal to 4
Therefore, A (h >= 4) is the correct answer