Question

2 4 in. 7 in. 11 in. 8 in. 12 in.

Explanation:

Step1: Calculate the volume of the first rectangular prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the lower prism, \(l = 8\) in, \(w=(12 - 4)=8\) in, \(h = 7\) in.
\(V_1=8\times8\times7 = 448\) in³

Step2: Calculate the volume of the second rectangular prism

For the upper - right prism, \(l = 8\) in, \(w = 4\) in, \(h = 11\) in.
\(V_2=8\times4\times11=352\) in³

Step3: Sum the volumes of the two prisms

\(V = V_1+V_2\)
\(V=448 + 352=800\) in³

Answer:

\(800\) in³