Question

What is the surface area of the following prism? Use the following equation. (SHOW ALL WORK)S.A. = ph + 2B (p = perimeter of base, h = height, and B =base area)

Answer 1

Given a rectangular prism as shown

Surface Area = ph + 2B

`\begin{gathered} \text{perimeter = (10 + 10 + 4 + 4)ft} \\ P\text{ = 28ft} \\ \text{Height = 4ft} \end{gathered}`
`\begin{gathered} \text{Base area = 10ft x 4ft} \\ \text{Base area }=\text{ 40ft} \end{gathered}`
`\begin{gathered} Surface\text{ Area = 28ft x 4ft + 2 (40ft)} \\ Surface\text{ Area = 112ft + 80ft} \\ SurfaceArea=192ft^2 \end{gathered}`

Hence the surface area = 192ft²