Question

Find the surface area of the rectangular prismA) 51 m^2B) 105 m^2C) 54 m^2D) 102 m^2

Answer 1

To answer this question we will use the following formula to compute the surface area of a rectangular prism:

$\begin{gathered} SA=2(wl+hl+hw), \\ \text{where w is the width of the rectangular prims, l is its length, and h is its height.} \end{gathered}$

Substituting w=3m, h=2m, and l=9m we get:

$SA=2(3m\cdot9m+2m\cdot9m+2m\cdot3m)\text{.}$

Simplifying the above result we get:

$\begin{gathered} SA=2(27m^2+18m^2+6m^2), \\ SA=2(51m^2), \\ SA=102m^2\text{.} \end{gathered}$

Answer: Option D.