Answer:
[tex]860\; \rm ft^{2}[/tex].
Step-by-step explanation:
Each rectangular prism contains six sides.
In this rectangular prism, these sides are:
- A set of two [tex]5\; \rm ft[/tex] by [tex]8\; \rm ft[/tex] rectangles. Area: [tex]5\; \rm ft\times 8\; \rm ft = 40\; \rm ft^{2}[/tex] each.
- A set of two [tex]5\; \rm ft[/tex] by [tex]30\; \rm ft[/tex] rectangles. Area: [tex]5\; \rm ft \times 30\; \rm ft = 150\; \rm ft^{2}[/tex] each.
- A set of two [tex]8 \; \rm ft[/tex] by [tex]30\;\rm ft[/tex] rectangles. Area: [tex]8\; \rm ft \times 30\; \rm ft = 240\; \rm ft^{2}[/tex] each.
Take the sum of the areas of these six rectangles to find surface area of this rectangular prism:
[tex]\begin{aligned}& 2 \times 40\; \rm ft^{2} + 2 \times 150\; \rm ft^{2} + 2 \times 240\; \rm ft^{2} = 860\; \rm ft^{2}\end{aligned}[/tex].
