Question

top prism: v = 3× × v = cubic in. bottom prism: v = cubic in. whole figure: v = cubic in.

Explanation:

Step1: Calculate top - prism volume

The volume formula for a rectangular prism is $V = l\times w\times h$. For the top prism, $l = 3$ in, $w = 1$ in, $h = 4$ in. So $V_{top}=3\times1\times4 = 12$ cubic in.

Step2: Calculate bottom - prism volume

For the bottom prism, $l = 4$ in, $w = 5$ in, $h = 2$ in. Using the volume formula $V = l\times w\times h$, we get $V_{bottom}=4\times5\times2=40$ cubic in.

Step3: Calculate whole - figure volume

The volume of the whole figure is the sum of the volumes of the top and bottom prisms. So $V_{total}=V_{top}+V_{bottom}=12 + 40=52$ cubic in.

Answer:

Top Prism: $V = 3\times1\times4$, $V = 12$ cubic in.
Bottom Prism: $V = 40$ cubic in.
Whole Figure: $V = 52$ cubic in.