5.
In order to calculate the surface area of the rectangular prism, we can divide it in 6 areas:
- Two squares with dimension of 4 inches
- Four rectangles with dimensions 4 in x 12 in.
So the surface area is:
![\begin{gathered} S=2\cdot4\cdot4+4\cdot4\cdot12 \\ S=32+192 \\ S=224 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wza7dhz7exhds0an3oclblm8z0x5p4480o.png)
6.
To calculate the surface area of the cylinder we can use the formula:
![S=2\pi rh+2\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/243d8fpb92u48adcde5p37w4mcilq7eo7e.png)
Using r = 2 and h = 1, we have:
![\begin{gathered} S=2\pi\cdot2\cdot1+2\pi\cdot2^2 \\ S=4\pi+8\pi \\ S=12\pi=37.7 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/sov063o1pcpu0gse9tg4jook3lisjqmg0r.png)